WILL MARK BRAINLIEST TO THE BEST ANSWER. PLEASE SHOW ALL WORK IN FULL SOLUTIONS. THANK YOU. A basketball has a diameter of 7.4 c

Question

3 years ago

13

m, Which expression represents the volume of the basketball?
A) 4pi(3.7)^3
B) 4pi(7.4)^3
C) 4pi(7.4)^3/3
D) 4pi(3.7)^3/3

1 answer:

sleet_krkn [62] · Answer 1 · 2022-09-26T17:21:19+03:00

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Answer:

D) 4pi(3.7)^3/3

Step-by-step explanation:

The formula for the volume of a sphere is ...

$V=\dfrac{4}{3}\pi r^3$

This is given in terms of the radius, which is half the diameter

r = d/2 = (7.4 cm)/2 = 3.7 cm

Using this value in the formula, we have ...

$V=\dfrac{4}{3}\pi(3.7)^3\\\\ \boxed{V=\dfrac{4\pi(3.7)^3}{3}} \qquad\text{matches D}$