A circus tent has cylindrical shape surmounted by a conical rood. The radius of the cylindrical base is $20 m$ . The heights of the cylindrical and conical portions are $4.2 m$ and $2.1 m$ respectively. Find the volume of the tent.

Open in App

Solution

Given $r = 20 m$ , height of cylinder $= 4.2 m = h$ , height of cone $= 2.1 m =$ $h_{1}$
$V = π r^{2} h + \frac{1}{3} π r^{2} h_{1}$
$V = π \times 20^{2} \times 4.2 + \frac{1}{3} π \times 20^{2} \times 2.1$
$V = 6157.52$

Suggest Corrections

Similar questions

A circus tent has cylindrical shape surmounted by a conical roof. The radius of the cylindrical base is 20 m. The heights of the cylindrical and conical portions are 4.2 m and 2.1 m respectively. Find the volume of the tent.

Q. A circus tent is cylindrical to a height of 3 m and conical above it. If its base radius is 52.5 m and the slant height of the conical portion is 53 m, find the area of canvas needed to make the tent.

a circus tent is cylindrical in shape up to a height of 4.2 m and conical above it. the common diameter of the base of the cylindrical and conical parts is 6 m. if the total height of the tent from the ground is 8.2 m, find the cost of canvas needed to make the tent at the rate of Rs.160 per m²

Q. A circus tent is cylindrical to a height of 3 m and conical above it. If its base radius is 52.5 m and slant height of the conical portion is 53 m, find the area of the canvas needed to make the tent

A circus tent is in the shape fo a cylinder surmounted by a conical top of same diameter.If their common diameter is 56 m, the height of the cylindrical part is 6m and the total height of the tent above the ground is 27m,find the area of the canvas used in making the tent.

Join BYJU'S Learning Program

A circus tent has cylindrical shape surmounted by a conical rood. The radius of the cylindrical base is 20m. The heights of the cylindrical and conical portions are 4.2m and 2.1m respectively. Find the volume of the tent.

Given r=20m, height of cylinder=4.2m=h, height of cone=2.1m=h1V=πr2h+13πr2h1V=π×202×4.2+13π×202×2.1V=6157.52

A circus tent has cylindrical shape surmounted by a conical rood. The radius of the cylindrical base is $20 m$ . The heights of the cylindrical and conical portions are $4.2 m$ and $2.1 m$ respectively. Find the volume of the tent.

Given $r = 20 m$ , height of cylinder $= 4.2 m = h$ , height of cone $= 2.1 m =$ $h_{1}$
$V = π r^{2} h + \frac{1}{3} π r^{2} h_{1}$
$V = π \times 20^{2} \times 4.2 + \frac{1}{3} π \times 20^{2} \times 2.1$
$V = 6157.52$