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What is the volume of a sphere with a radius of 30 m?

a) 1,200π m³
b) 288,000π m³
c) 36,000π m³
d) 20,250π m³

2 Answers

6 votes

Final answer:

The volume of the sphere can be calculated using the formula V = πr³, where r is the radius of the sphere.

Step-by-step explanation:

The volume of a sphere can be calculated using the formula V = πr³, where V is the volume and r is the radius of the sphere. In this case, the radius is given as 30 m.

Substituting the value of the radius into the formula, we get V = π(30 m)³ = π × 27,000 m³ = 27,000π m³.

Therefore, the correct answer is d) 20,250π m³.

User Alex Townsend
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4 votes

Final answer:

The volume of a sphere with a radius of 30 meters is calculated using the formula V = (4/3)πr³, which yields the result 36,000π m³. The correct answer is (c) 36,000π m³.

Step-by-step explanation:

The student is asking for the volume of a sphere with a radius of 30 meters. The formula for the volume of a sphere is given by V = (4/3)πr³, where V is the volume and r is the radius of the sphere.

By substituting 30 meters for the radius, we get:

V = (4/3)π(30m)³
= (4/3)π(30³)m³
= (4/3)π(27,000)m³
= 36,000π m³

Therefore, the answer is (c) 36,000π m³.

User Tinkaal Gogoi
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7.5k points