Question

Question 3 (4 points)

Find the surface area of a sphere with a circumference of 172 mm. Round to the nearest tenth.

9416.9 mm
27.4 mm
4708.4 mm
749.4 mm

Answer 1

a. 9,416.9 mm²

Explanation:

Given:

Circumference of a sphere = 172 mm

Required:

Surface area of the sphere rounded to nearest tenth

Solution:

First, we need to determine the radius of the sphere since we know the circumference.

Circumference = 2πr

Plug in the value of the circumference

172 = 2*π*r

Divide both sides by 2π

172/2π = r

86/π = r

r ≈ 86/π

Next, find the surface area of the sphere

Surface area = 4πr²

plug in the value of r

Surface area = 4*π*(86/π)²

= 4*π*86²/π²

= 4*7,396/π

= 9,416.87967

≈ 9,416.9 mm² (nearest tenth)