Question

HELP ME PLEASE! 20 POINTS!!!

In terms of π, what is the volume of the sphere? Refer to your STAAR 8th Grade Math Reference Sheet for the appropriate formula.
Question 6 options:

360π cubic feet


1800π cubic feet


27000π cubic feet


36000π cubic feet

Answer 1

36000π cubic feet

Explanation:

Given :

• Diameter of sphere = 60 feet

Solving :

• Volume = 4/3πr³
• But 2r = d or r = d/2
• Therefore, volume is :
• ⇒ 4/3π(d/2)³
• ⇒ 4/24πd³
• ⇒ 1/6πd³
• ⇒ 1/6 x 60 x 60 x 60 x π
• ⇒ 10 x 3600π
• ⇒ 36000π cubic feet

Answer 2

is in the shape of a sphere

diameter = 60 feet

radius = r = 60/2 = 30 feet

Explanation:

volume of sphere = 4/3 × π × r³

= 4/3 × π × 30³

=4/3π × 27,000

= 36000π cubic feet