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7) Calculate the volume of the sphere, both in terms of p & to the nearest tenth, in which r= 3 in

Question

7) Calculate the volume of the sphere, both in terms of π \pi & to the nearest tenth, in which r=3 r = 3 in.

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Solution

The volume of a sphere is given by the formula V = 4/3 * π * r³.

Step 1: Substitute the given radius (r = 3 in) into the formula.

V = 4/3 * π * (3 in)³

Step 2: Calculate the cube of the radius (3³ = 27).

V = 4/3 * π * 27 in³

Step 3: Multiply the values.

V = 36π in³

This is the volume of the sphere in terms of π.

Step 4: To find the volume to the nearest tenth, we need to multiply 36 by the value of π (approximately 3.14159).

V = 36 * 3.14159 in³

Step 5: Calculate the product.

V ≈ 113.097 in³

So, the volume of the sphere is 36π in³ or approximately 113.1 in³ to the nearest tenth.

This problem has been solved

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