Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the surface area of this cylinder? round your answer to the nea…

Question

what is the surface area of this cylinder?
round your answer to the nearest hundredth.
3.9 mm
14.5 mm
square millimeters
submit

Explanation:

Step1: Identify radius and height

Radius $r = 3.9$ mm, height $h = 14.5$ mm

Step2: Calculate area of two circles

$2\pi r^2 = 2 \times \pi \times (3.9)^2$
$= 2 \times \pi \times 15.21 ≈ 95.56$

Step3: Calculate lateral surface area

$2\pi r h = 2 \times \pi \times 3.9 \times 14.5$
$= 2 \times \pi \times 56.55 ≈ 355.31$

Step4: Sum areas for total surface area

$95.56 + 355.31 ≈ 450.87$

Answer:

450.87