Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

guided practice surface areas of prisms and cylinders type your answer …

Question

guided practice
surface areas of prisms and cylinders
type your answer and then click or tap done.
what is the surface area of the cylinder?
round your answer to the nearest whole number. use 3.14 for π.
in²

Explanation:

Step1: Identify cylinder parameters

Radius $r=2$ in, height $h=6$ in, $\pi=3.14$

Step2: Calculate lateral surface area

$2\pi rh = 2×3.14×2×6 = 75.36$ in²

Step3: Calculate area of two bases

$2\pi r² = 2×3.14×2² = 25.12$ in²

Step4: Sum to get total surface area

$75.36 + 25.12 = 101.12$ in²

Answer:

101.12 in²