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
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