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What is the volume of a sphere with a radius of 9 units?A.972 units3B.243 units3C.486 units3D.324 units3

Question

What is the volume of a sphere with a radius of 9 units?A.972 units3B.243 units3C.486 units3D.324 units3

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Solution 1

The volume of a sphere is calculated using the formula: V = 4/3 * π * r³

Given that the radius (r) is 9 units, we can substitute this into the formula:

V = 4/3 * π * 9³

V = 4/3 * π * 729

V = 3053.63 units³

None of the options A, B, C, or D match this result.

Solution 2

The volume of a sphere can be calculated using the formula:

V = 4/3 * π * r³

where:

  • V is the volume of the sphere,
  • r is the radius of the sphere,
  • π is a mathematical constant whose approximate value is 3.14159.

Given that the radius of the sphere is 9 units, we can substitute r = 9 into the formula:

V = 4/3 * π * 9³

V = 4/3 * π * 729

V = 972π units³

Therefore, the volume of the sphere with a radius of 9 units is 972π units³.

However, the options provided do not include π, so it seems like the question wants the numerical value.

To get this, we multiply 972 by the approximate value of π:

V = 972 * 3.14159 ≈ 3053.63 units³

This value is not in the options provided, so there may be a mistake in the question or the options.

This problem has been solved

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