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 $R=20cm$, $r=10cm$, $h=30cm$...
A milk container of height $16cm$ is made of metal sheet in the form of frustum of a cone with radii of its lower and upper ends as $8cm$ and $20cm$ respectively. Find the cost of milk at the rate of $Rs.44$ per liter which the container can hold.
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 $\left( {{r}_{2}} \right)=20cm$...
A tent consists of a frustum of a cone capped by a cone. If radii of the ends of the frustum be $13m$ and $7m$, the height of frustum be $8m$ and the slant height of the conical cap be $12m$, find the canvas required for the tent.
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 radii of circular bases of a frustum of a right circular cone are $12cm$ and $3cm$ and the height is $12cm$. Find the total surface area and volume of frustum.
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...
If the radii of the circular ends of a bucket $24cm$ high are $5$ and $15cm$ respectively, find the surface area of the bucket.
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...
The height of a cone is $20cm$. A small cone is cut off from the top by a plane parallel to the base. If its volume be $1/125$ of the volume of the original cone, determine at what height above the base the section is made.
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...
The height of a cone is $20cm$. A small cone is cut off from the top by a plane parallel to the base. If its volume be $1/125$ of the volume of the original cone, determine at what height above the base the section is made.
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...
If the radii of the circular ends of a conical bucket which is $45cm$ high be $28cm$ and $7cm$, find the capacity of the bucket.
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....
The perimeters of the ends of a frustum of a right circular cone are $44cm$ and $33cm$. If the height of the frustum be $16cm$, find its volume, the slant surface and the total surface.
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...
A frustum of a right circular cone has a diameter of base $20cm$, of top $12cm$ and height $3cm$. Find the area of its whole surface and volume.
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...
A bucket has top and bottom diameters of $40cm$ and $20cm$ respectively. Find the volume of the bucket if its depth is $12cm$. Also, find the cost of tin sheet used for making the bucket at the rate of $Rs120$ per$d{{m}^{2}}$
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...