Question

what is the surface area of this cylinder?
round your answer to the nearest hundredth.
7 in
6.8 in
square inches

Explanation:

Step1: Identify radius and height

Radius $r = \frac{7}{2} = 3.5$ in, height $h = 6.8$ in

Step2: Calculate surface area formula

Surface area $SA = 2\pi r^2 + 2\pi rh$

Step3: Compute base areas

$2\pi r^2 = 2 \times \pi \times (3.5)^2 = 2 \times \pi \times 12.25 = 24.5\pi$

Step4: Compute lateral surface area

$2\pi rh = 2 \times \pi \times 3.5 \times 6.8 = 47.6\pi$

Step5: Sum and calculate value

$SA = 24.5\pi + 47.6\pi = 72.1\pi \approx 72.1 \times 3.1416 \approx 226.51$

Answer:

226.51