Question

Two questions

3. A sphere has a diameter of 12 cm.
a. Find the surface area of the sphere in exact form. (4 points)

b. Find the volume of the sphere in exact form. (4 points)

c. What is the ratio of the Surface Area to the Volume in lowest terms. (4 points)

Answer 1

pic:
V = 1/3 × 4^2 × 3 + 4^3
V = 16 + 64
V = 80

words:
d = 12, r = 6
SA = 4 × pi × 6^2
SA = 144pi

V = 4/3 × pi × 6^3
V = 288pi

SA to V is 1 to 2 (1:2)