Find the surface area of the cylinder. Round your answer to the nearest hundredth.

Mathematics

1 answer:

horsena [70]2 years ago

4 0

Answer:

C. 795.45 in^2

Step-by-step explanation:

The formula for the surface area of a cylinder is ...

SA = 2πr^2 +2πrh = 2πr(r +h)

For r=6 and h=15.1, the surface area is ...

SA = 2π(6)(6 +15.1) = π(12)(21.1) = 253.2π

SA ≈ 795.45 . . . . square inches

You might be interested in

Which is best represent the area of a triangle of a height of x+7 and a base of 2x+12

Archy [21]

$\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ h=x+7\\ b=2x+12 \end{cases}\implies A=\cfrac{1}{2}(2x+12)(x+7) \\\\\\ A=\cfrac{1}{2}\underset{\stackrel{\uparrow \qquad }{\textit{common factoring}}}{2(x+6)(x+7)}\implies A=(x+6)(x+7)\implies A=\stackrel{\mathbb{F~O~I~L}}{x^2+13x+42}$