A cylinder has a height of 4 meters and a radius of 1.5 meters. What is the approximate radius of a sphere that has the same sur

Question

2 years ago

7

face area
as the cylinder?
OA. 2.0m
OB. 4.1 m
O c. 1.7m
OD. 2.9 m

1 answer:

Mama L [17] · Answer 1 · 2023-06-22T11:11:21+03:00

If the surface area of the cylinder is 12π square meters. Then the radius of the sphere will be 1.7 meters.

<h3>What is a cylinder?</h3>

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

A cylinder has a height of 4 meters and a radius of 1.5 meters.

Then the approximate radius of a sphere that has the same surface area as the cylinder.

We know that the Surface area of the cylinder will be is given as

Surface area = 2πrh

Surface area = 2 x π x 1.5 x 4

Surface area = 12π square meters

Then we have

Surface area of sphere = surface area of cylinder

4πr² = 12π

r² = 3

r = 1.7 meters

More about the cylinder link is given below.

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