1 Answer

Manu Schiller · Answer 1 · 2020-02-20T03:51:08+0000

Answer:

A=78.23in²

Explanation:

First we need to solve for the radius. The volume of a cylinder can be found using the formula:

$V=\pi r^(2) h$

Now we have the variables:

V = 1177.5 in³

h = 15

r = ?

$1177.5=\pi r^(2)15$

$(1177.5)/(15)=(\pi r^(2) )/(15)$

$78.5=\pi r^(2)$

$(78.5)/(\pi )=(\pi r^(2) )/(\pi )$

r^(2) ≅24.99

$\sqrt{r^(2) }$ ≅
√(24.99)

r≅4.99in

Now since we're looking for the area of the base, we can use the formula for the area of a circle which is:

$A=\pi r^(2)$

$A=\pi (4.99)^(2)$

A=78.23in²

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