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tatyana61 [14]
3 years ago
6

The volume of a sphere is 972π cubic millimeters. What is the circumference of the great circle of the sphere? (Recall that the

formula for the volume for a sphere is v=4/3π^3 and the formula for the circumference of the great circle is C=2πr.)
A. 9π mm
B. 18π mm
C. 36π mm
D. 162π mm
Mathematics
2 answers:
Mashcka [7]3 years ago
8 0
\boxed{\boxed{\text {Volume =} \dfrac{4}{3}  \pi r^3}}

Given that the volume is 972π mm³, find radius:

972\pi = \dfrac{4}{3}  \pi r^3

r^3 = 972\pi  \div \dfrac{4}{3}  \pi

r^3 = 729

r =  \sqrt[3]{729}

r = 9 \text{ mm}

Find Circumference:

\boxed { \boxed {\text{Circumference = }2 \pi r}}

\text{Circumference = }2 \pi (9)

\text{Circumference = }18 \pi \text{ mm}
Lelu [443]3 years ago
7 0

Answer:

18

Step-by-step explanation:

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