A cylinder with base area 169Ο€ ft sq. and a height twice the radius

Question
Answer:
I would presume you would like to find the volume of the cylinder. :)

Given the base area of cylinder is 169pie ft.^2.

The base area of cylinder is a circle, which has a formula of pie Γ— radius^2.
169pie = pie Γ— radius^2
{Divide both sides of equation by pie}
169 = radius^2
radius^2 = 169
{Make radius the subject of equation}
radius = +- (square root)169
{Reject the negative value and retain positive value, since radius can only be positive}
radius = 13 ft.

The height of the cylinder is twice the radius, so the height will be:
Height = radius Γ— 2
= 13 Γ— 2
= 26 ft.

The volume of cylinder has the formula of:
Volume of cylinder = base area Γ— height
= pie Γ— radius^2 Γ— height
= pie Γ— 13^2 Γ— 26
= 169 Γ— 26 Γ— pie
= 4394pie ft. cm^3

Hope this helps! :)

P.s. If your question was not to find the area of cylinder, feel free to let me know! :)
solved
general 11 months ago 8590