Question

find the volume of the cylinder if the CSA to TSA of a right circular cylinder is 1:3 and TSA is 1848 24cm ^2

Answer 1

CA of the Cylinder = 2πrh
TSA of the Cylinder = 2πr(r+h)
Given,
Ratio is 1:3
then we have,
3h = r+h
2h = r
We have,
TSA = 1848 cm^2
2π(2h)(3h) = 1848
6h^2 = 294
h^2 = 49
h = 7
Then,
r = 14
Now calculating the Volume,
V = πr^2h
= 22×14×14×7 (1/7)
= 22 ×196
= 4312 cm^3