Two vertices of $\triangle \mathrm{ABC}$ are $\mathrm{A}(1,-6)$ and $\mathrm{B}(-5,2)$. Let the third vertex be $\mathrm{C}(\mathrm{a}, \mathrm{b})$. => the coordinates of its centroid are...
According to the question, Radius of the conical portion of the toy $=3.5cm=r$ Total height of the toy $=15.5cm=H$ If H is the length of the conical portion Now, Length of the cone (h)...
As per the question it is given that, Diameter of the hemisphere $=14cm$ Thus, the radius of the hemisphere $=7cm$ Total height of the vessel $=13cm=h+r$ Thus, Inner surface area of the vessel...
As per the question it is given that, Height/length of the cylindrical road roller $=h=1m=100cm$ Internal Diameter of the cylindrical road roller $=54cm$ Thus, the internal radius of the cylindrical...
According to the question it is given that, Depth of the cylindrical vessel = Height of the cylindrical vessel $=h=42cm$ (common for both) Inner diameter of the cylindrical vessel $=14cm$ Thus, the...
According to the question it is given that, Radius of the hemispherical end (r) $=7cm$ Height of the solid $=(h+2r)=104cm$ $\Rightarrow h+2r=104$ $\Rightarrow h=104-\left( 2\times 7 \right)$ Then,...
As per the question it is given that, Diameter of the hemisphere $=3.5m$ Thus, the radius of the hemisphere (r) $=1.75m$ Height of the cylinder (h) $=14/3m$ We all know that, volume of the Cylinder...
According to the question, Diameter of the hemisphere $=2m$ So, the radius of the hemisphere (r) $=1m$ Height of the cylinder $\left( {{h}_{1}} \right)=2m$ Then, the volume of the Cylinder $=\pi...
As per the question, Diameter of the cylinder $=20m$ Thus, its radius of the cylinder (R) $=10m$ Height of the cylinder $\left( {{h}_{1}} \right)=2.5m$ Radius of the cone $=$ Radius of the cylinder...
As per the question it is given that, Height of the circular Cylinder $\left( {{h}_{1}} \right)=12cm$ Base radius of the circular Cylinder (r) $=5cm$ Height of the conical hole $=$ Height of the...
It is given that, Base diameter of the cylindrical base of the petrol tank $=21cm$ Thus, its radius (r) $=diameter/2=21/2=10.5cm$ Height of the Cylindrical portion of the tank $\left( {{h}_{1}}...
As per the question it is given, Radius of the cylindrical portion (R) $=20m$ Height of the cylindrical portion $\left( {{h}_{1}} \right)=4.2m$ Height of the conical portion $\left( {{h}_{2}}...
According to the question we have, The radius of the Cylindrical tub (r) $=5cm$ Height of the Cylindrical tub (H) $=9.8cm$ Height of the cone outside the hemisphere (h) $=5cm$ Radius of the...
It is given in the question that, Height of the Cylindrical portion (H) $=13cm$ Radius of the Cylindrical portion (r) $=5cm$ Height of the whole solid $=30cm$ Now, The curved surface area of the...
According to the question, Radius of the common base (r) $=3.5cm$ Height of the cylindrical part (h) $=10cm$ Height of the conical part (H) $=6cm$ Assume, ‘l’ be the slant height of the cone Now, we...
It is given in the question that, The height of the cone (h) $=4cm$ Diameter of the cone (d) $=6cm$ Then, its radius (r) $=3$ Assume, ‘l’ be the slant height of cone. Now, we all know that...
According to the question, Height of the tent $=77dm$ Height of a surmounted cone $=44dm$ Height of the Cylindrical Portion $=$ Height of the tent $–$ Height of the surmounted Cone $=77–44$...
According to the question it is given that, Radius of the cylindrical portion of the rocket (R) $=2.5m$ Height of the cylindrical portion of the rocket (H) $=21m$ Slant Height of the Conical surface...
As per the question, The diameter of the cylinder (also the same for cone) $=24m$. Thus, its radius (R) $=24/2=12m$ The height of the cylindrical part $\left( {{H}_{1}} \right)=11m$ Now, Height of...
Let us assume R and r be the radii of the top and base of the bucket respectively, Let us assume h be its height of the bucket. Then, according to the question we have $R=20cm$, $r=10cm$, $h=30cm$...
As per the given information, A milk container in a form of frustum of a cone with, Radius of the lower end $\left( {{r}_{1}} \right)=8cm$ And radius of the upper end $\left( {{r}_{2}} \right)=20cm$...
According to the given data in the question, Height of frustum (h) $=8m$ (given) Bigger and smaller radii of the frustum cone are $13cm$ and $7cm$. Therefore, ${{r}_{1}}=13cm$ and ${{r}_{2}}=7cm$...
The height of frustum cone $=12cm$ (given) Bigger and smaller radii of a frustum cone are $12cm$ and $3cm$ respectively. (given) Therefore , ${{r}_{1}}=12cm;{{r}_{2}}=3cm$ Let us assume that the...
As per the given data in question, Height of the bucket (h) $=24cm$ Radius of the small and big circular ends of the bucket $5cm$ and $15cm$ respectively. So, ${{r}_{1}}=5cm,{{r}_{2}}=15cm$ Let us...
According to the given information, Let us asssume the radius of the small cone be r cm And, the radius of the big cone be R cm It is given, height of the big cone is $20cm$ Let us also assume the...
According to the given information, Let us asssume the radius of the small cone be r cm And, the radius of the big cone be R cm It is given, height of the big cone is $20cm$ Let us also assume the...
Given data as per the question, Height of the conical bucket asgiven in the question $=45cm$ Radii of the bigger and smaller circular ends of the conical bucket are $28cm$ and $7cm$ respectively....
As per the given data, Perimeter of the upper end of a frustum of a right circular cone $=44cm$ So, $2\pi {{r}_{1}}=44$ $2\left( 22/7 \right){{r}_{1}}=44$ (radius of upper end of a frustum of a...
As per the given data, The base diameter of cone $\left( {{d}_{1}} \right)$ $=20cm$ So, the radius of the base of the cone $\left( r_{1}^{{}} \right)$ $=20/2cm=10cm$ The top diameter of...
As per the given information, Diameter of the top of the bucket $=40cm$ So, the radius of the top of the bucket $\left( {{r}_{1}} \right)$ $=40/2=20cm$ Diameter of the bottom part of the bucket...
According to the question, Length of the rectangular surface $=6m=600cm$ Breadth of the rectangular surface $=4m=400cm$ Height of the perceived rain $=1cm$ Then, Volume of the rectangular surface...
It is given in the question that, Height of the cylindrical bucket $=32cm$ Radius of the cylindrical bucket $=18cm$ Height of conical heap $=24cm$ As we know that, Formula for volume of cylinder...
As per the question it is given that, The side of the cube $=9cm$ The largest cone that can be cut from cube will have the base diameter $=$ side of the cube $2r=9$ $r=9/2cm=4.5cm$ Now, Height of...
As per the question it is given that, Diameter of the well $=3m$ Then, the radius of the well $=3/2m=1.5m$ Depth of the well (h) $=14m$ Width of the embankment (thickness) $=4m$ Therefore, the...
According to the question it is given that, Inner radius of the well $=4m$ Depth of the well $=14m$ As we know that, Formula for Volume of the cylinder $=\pi {{r}^{2}}h$ $=\pi \times {{4}^{2}}\times...
As per the question it is given that, Radius of the circular cylinder (r) $=2/2m=1m$ Height of the well (h) $=14m$ As we know that, Formula for volume of the solid circular cylinder $=\pi...
Consider the well to be a solid right circular cylinder Radius(r) of the cylinder $=3.5/2 m=1.75m$ Depth of the well or height of the cylinder (h) $=16m$ As we know that, Volume of the cylinder...
As per the question, Diameter of the circular pond $=40m$ So, the radius of the pond $=40/2=20m=r$ Thickness (width of the path) $=2m$ As the whole view of the pond looks like a hollow cylinder. And...
According to the question it is given, Radius of the spherical ball $=3cm$ As we know that, The volume of the sphere $=4/3\pi {{r}^{2}}$ Now, it’s volume (V) $=4/3\pi {{r}^{3}}$ That the ball is...
As, per the question it is given The internal radius of hollow sphere $=2cm$ The external radius of hollow sphere $=4cm$ As we know that, Volume of the hollow sphere $4/3\pi \times \left(...
According to the question it is given that, Internal diameter of hollow sphere $=4cm$ So, the internal radius of hollow sphere $=2cm$ External diameter of hollow sphere $=8cm$ So, the external...
As per the question, Internal diameter of hollow spherical shell $=6cm$ Then, the internal radius of hollow spherical shell $=6/2=3cm=r$ External diameter of hollow spherical shell $=10cm$...
Assume the length of the pipe be h cm. Formula for volume of cuboid is $V=whl$ Now, Volume of cuboid $=\left( 53\times 40\times 15 \right)c{{m}^{3}}$ Internal radius of the pipe $=7/2cm=r$ External...
Assume the number of cones made be n It is given that, Radius of metallic sphere $=5.6cm$ Radius of the cone $=2.8cm$ Height of the cone $=3.2cm$ As we know that, Formula for volume of a sphere...
It is given that, Height of the cylindrical bucket $=32cm$ Radius of the cylindrical bucket $=18cm$ Height of conical heap $=24cm$ As we know that, Volume of cylinder $=\pi \times {{r}^{2}}\times h$...
As per the question given, The height of the cone $=28cm$ Surface area of the solid metallic sphere $=616c{{m}^{3}}$ As we know that, Surface area of the sphere $=4\pi {{r}^{2}}$ Then, $4\pi...
According to the question, Diameter of the coin $=1.75cm$ Then, its radius $=1.74/2=0.875cm$ Thickness or the height $=2mm=0.2cm$ As we know that, Volume of the cylinder $\left( {{V}_{1}}...
As per the question given, Internal diameter of the hollow sphere $=6cm$ The internal radius of the hollow sphere $=6/2cm=3cm=r$ External diameter of the hollow sphere $=10cm$ Then, the external...
As, per the question, Diameter of the copper wire $=1cm$ Radius of the copper wire $=1/2cm=0.5cm$ Length of the copper rod $=8cm$ As we know that, Formula for volume of the cylinder $=\pi...
According to the question it is given that, Radius of the copper sphere $=3cm$ As we know that, Volume of the sphere $=4/3\pi {{r}^{3}}$ $=4/3\pi \times {{3}^{3}}$ ….. (i) The copper sphere is...
Assume the radius of the big ball be $xcm$ The radius of the small ball $=x/4cm$ Let the number of balls $=n$ Then according to the question, we have Volume of n small balls $=$ Volume of the big...
According to the question it is given that, Radius of the sphere $=9/2cm$ Its volume will be $=4/3\pi {{r}^{3}}=4/3\pi {{\left( 9/2 \right)}^{3}}$ Then, the radius of the wire $=2mm=0.2cm$ Assume...
It is given that, Radius of metallic sphere $=R=10.5cm$ So, its volume $=4/3\pi {{R}^{3}}=4/3\pi {{\left( 10.5 \right)}^{3}}$ We also have, Radius of each cone $=r=3.5cm$ Height of each cone...
Assume the edges of three cubes (in cm) be $3x$, $4x$ and $5x$ respectively. Then, the volume of the cube after melting will be $={{\left( 3x \right)}^{3}}+{{\left( 4x \right)}^{3}}+{{\left( 5x...
According to the question, The radius of each spherical lead shot $=r=4/2=2cm$ Volume of each spherical lead shot $=4/3\pi {{r}^{3}}=4/3\pi {{2}^{3}}c{{m}^{3}}$ Edge of the cube $=44cm$ Volume of...
According to the question Radius of each spherical lead shot $=r=4.2/2=2.1cm$ The dimensions of the rectangular lead piece $=66cm\times 42cm\times 21cm$ So, the volume of a spherical lead shot...
It is given in the question that, Radius of each circular disc $=r =1.5/2=0.75cm$ Height of each circular disc $=h=0.2cm$ Radius of cylinder $=R=4.5/2=2.25cm$ Height of cylinder $=H=10cm$ So, the...
Given, 250 circular plates each with radius $10.5cm$ and thickness of $1.6cm$. As the plates are placed one above the other, the total height becomes $=1.6\times 25=40cm$ As we know that, Curved...
According to the question, 50 circular plates each with diameter $14cm$ Radius of circular plates $=7cm$ Thickness of plates $=0.5cm$ We have to find the total surface area As these plates is one...
It is given that, The diameter of the cylinder $=$ the height of the cylinder $⇒h=2r$, where h – height of the cylinder and r – radius of the cylinder As we know that, Volume of a cylinder $=\pi...
According to the question, Diameter of the solid cylinder $=2cm$ Length of hollow cylinder $=16cm$ The solid cylinder is recast into a hollow cylinder of length $16cm$, with external diameter of...
It is given in the question that, $2.2d{{m}^{3}}$of brass is to be drawn into a cylindrical wire of Diameter $=0.25cm$ So, radius of the wire $(r)=d/2$ $=0.25/2=0.125*{{10}^{-2}}cm$ Then,...
It is given in the question that, Radius of the spherical ball $=3cm$ As, we know that The volume of the sphere $=4/3\pi {{r}^{3}}$ Then, it’s volume (V) $=4/3\pi {{r}^{3}}$ That the ball is melted...
It is given that, A metallic block of dimension $11dm\times 1m\times 5dm$ The diameter of each bullet $=5cm$ As, we know that Formula of volume of the sphere $=4\pi {{r}^{3}}$ As, we know that,...
It is given in the question that, A solid sphere of radius, $R=8cm$ With this sphere, we have to make spherical balls of radius $r=1cm$ Now, assume that the number of balls made as n As, we know...