7) Calculate the volume of the sphere, both in terms of p & to the nearest tenth, in which r= 3 in
Question
- Calculate the volume of the sphere, both in terms of p & to the nearest tenth, in which r= 3 in
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.
To find the volume to the nearest tenth, we need to approximate the value of π (approximately 3.14).
V = 36 * 3.14 in³
V = 113.04 in³
So, the volume of the sphere is approximately 113.04 cubic inches to the nearest tenth.
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