Question

A.) 1,767.1 cm^3
B.) 235.6 cm^3
C.) 441.8 cm^3
D.)3,534.3 cm^3

Answer 1

• A.) 1,767.1 cm^3

Explanation:

As in the question we are given Radius of circle 7.5 cm and we need to the volume of the sphere.

Using formula:

`\dashrightarrow \: \: {\underline{\boxed{ \sf{Volume_((Sphere)) = (4)/(3) \pi r^3 }}}} \\ \\`

Substituting the required values:

`\\ \dashrightarrow \: \: { \sf{Volume_((Sphere)) = (4)/(3) \pi * (7.5)^3 }} \\ \\ \\ \dashrightarrow \: \: \sf Volume_((Sphere)) = (4)/(3) * \pi * 421.875 \\ \\ \\ \sf \dashrightarrow Volume_((Sphere)) = (4)/(3) * (22)/(7) * 421.875 \\ \\ \\ \dashrightarrow \sf Volume_((Sphere)) = (37125)/(21) \\ \\ \\ \dashrightarrow \sf Volume_((Sphere)) \approx1767.1 \: {cm}^(2) \\ \\ \\`

Hence,

• Volume of the sphere is 1,767.1 cm^3