Problem

What is the surface area of the cylinder with height 8 mi and radius 4 mi? Round your answer to the nearest thousandth.

Answer

Expert–verified
Hide Steps
Answer

\(A_{total} = 2A_{base} + A_{lateral} = 2(16\pi) + 64\pi = 96\pi \approx 201.061\)

Steps

Step 1 ：\(A_{base} = \pi r^2 = \pi(4)^2 = 16\pi\)

Step 2 ：\(A_{lateral} = 2\pi rh = 2 \pi(4)(8) = 64\pi\)

Step 3 ：\(A_{total} = 2A_{base} + A_{lateral} = 2(16\pi) + 64\pi = 96\pi \approx 201.061\)

link_gpt

Popular Problems

Compute $\int_{0}^{\ln (2) / … Solve the triangle. \[ \mathr… QUESTION 2 - 1 POINT Solve th… 5. Suppose you are a computer… Answer the statistical measur… $(-\infty, 2) \cap(-6, \infty… A firm does not pay a dividen… Math 112 Section: 4. Tubercul… Find $y^{\prime}$ if $y=\ln \… 3. (3pts) Cherry trees in a c… More