Question

# The area of the base of a right circular prism in $50c{m^2}$ and its height is $8cm$ .What is its volume?

Verified
129.6k+ views
Hint:To solve this type of particular problem we should know basic geometry formulas.The area of the right circular prism is $\pi {r^2}$ where $r$ is the radius of the base of the right circular prism. And the volume of right circular prism is $\pi {r^2}h$ where $h$ is the height of right circular prism.Substituting area of right circular prism value in volume of right circular prism we get the required answer.

Formula used:
Given,

Area of base of right circular prism is = $50c{m^2}$
Height = $8cm$
Now we have to find volume so for that
We know formula to find area of base of right circular prism is = $\pi {r^2}$
So $\pi {r^2}$=$50c{m^2}............(1)$
Now we know the height (h) = $8cm$
And formula to find volume of right circular prism is = $\pi {r^2}h$
So by putting value from equation $(1)$ and value of $h$
We get volume (V) = $50 \times 8$$c{m^3}$
So V=$400c{m^3}$
So volume of right circular prism is $400c{m^3}$

Note:There is no need to find the radius of the right circular prism,we can directly find volume by just putting the value of the area of right circular prism.Students should remember all the basic formulas of volume and area of 3D figures.