Question

Calculate the volume of this regular solid. What is the volume of the sphere? Round your answer to the nearest tenth.cm^3

Given: r=8 cm
a) 2679.1 cm³
b) 2144.7 cm³
c) 1795.0 cm³
d) 1256.6 cm³

Answer 1

The volume of the sphere with a radius of 8 cm is calculated using the formula 4/3 πr³, resulting in approximately 2144.7 cm³, matching option b).

Step-by-step explanation:

The volume of a sphere is calculated using the formula V = 4/3 πr³, where V is the volume and r is the radius of the sphere. Given the radius (r) of 8 cm, the volume of the sphere is V = 4/3 π(8 cm)³. Plugging in the values, we get:

V = 4/3 π(512 cm³) = 4/3 π(512 cm³) ≈ 4/3 × 3.14159 × 512 cm³ ≈ 2144.7 cm³.

Therefore, the volume of the sphere, rounded to the nearest tenth, is 2144.7 cm³, which corresponds to option b).