Question

A fruit bowl is shaped like half of a sphere. The radius of the bowl is 15 cm. What is the volume of the sphere?

Answer 1

7068.585 cm^3

Explanation:

The volume of a sphere is 4/3×π×r^3.

Since this fruit bowl is shaped like half of a sphere, the volume would be (4/3×π×r^3)/2.

Since the radius is 15, we can substitute it into the equation.

(4/3×π×15^3)/2 =

(4/3×π×3375)/2≈

14137.17*/2 =

7068.585 cm^3

*I rounded 4/3×π×3375 to 2 places after the decimal point

Answer 2

The volume of a sphere can be calculated using the formula V = (4/3) * π * r^3, where V represents the volume and r represents the radius of the sphere.

In this case, we are given that the radius of the fruit bowl is 15 cm. Since the fruit bowl is shaped like half of a sphere, we can calculate the volume of the entire sphere and then divide it by 2.

Let's calculate the volume step by step:

1. Calculate the volume of the entire sphere using the formula: V_sphere = (4/3) * π * r^3

V_sphere = (4/3) * 3.14 * (15 cm)^3

V_sphere ≈ 4.18 * 15^3

V_sphere ≈ 4.18 * 3375

V_sphere ≈ 14085 cm^3

2. Divide the volume of the sphere by 2 to find the volume of the fruit bowl:

V_bowl = V_sphere / 2

V_bowl ≈ 14085 cm^3 / 2

V_bowl ≈ 7042.5 cm^3

Therefore, the volume of the fruit bowl, which is shaped like half of a sphere with a radius of 15 cm, is approximately 7042.5 cubic centimeters (cm^3).

Explanation: