Question

Q.1 - A beach ball has a radius of 10 inches. Find volume and Round to the nearest tenth.Q. 2 - Find the volume of a hemisphere with a radius of 6 m. Round to the nearest tenth.Q. 3 - Calculate the volume of the sphere. Round to the nearest tenth.

Answer 1

Q1)

Given:

The radius of the ball is 10 inches.

Required:

We need to find the volume of the ball.

Step-by-step explanation:

The shape of the ball is a sphere.

Consider the volume of the sphere formula.

`V=(4)/(3)\pi r^3`

Substitute r =10 in the formula.

`V=(4)/(3)*3.14*(10)^3`
`V=(4)/(3)*3.14*1000`
`V=4186.7\text{ in}^3`

Answer:

The volume of the ball is 4186.7 cubic inches.

Q2)

Given:

The radius of the hemisphere is 6m.

Required:

We need to find the volume of the hemisphere.

Step-by-step explanation:

Consider the volume of the hemisphere formula.

`V=(2)/(3)\pi r^3`

Substitute r =6 in the formula.

`V=(2)/(3)*3.14*6^3`
`V=452.2m^3`

Answer:

The volume of the hemisphere is 452.2 cubic meters.

Q3)

Given:

The diameter of the sphere is 2.6m.

Required:

We need to find the volume of the sphere.

Step-by-step explanation:

Consider the radius formula.

`r=(d)/(2)`

Substitute d =2.6 in the formula.

`r=(2.6)/(2)=1.3m.`

Consider the volume of the sphere formula.

`V=(4)/(3)\pi r^3`

Substitute r =1.3 in the formula.

`V=(4)/(3)*3.14*(1.3)^3`
`V=9.2\text{ m}^3`

Answer:

The volume of the given sphere is 9.2 cubic meters.

Q4)

Given:

The diameter of the sphere is 8 ft.

Required:

We need to find the volume of the sphere.

Step-by-step explanation:

Consider the radius formula.

`r=(d)/(2)`

Substitute d =8 in the formula.

`r=(8)/(2)=4ft`

Consider the volume of the sphere formula.

`V=(4)/(3)\pi r^3`

Substitute r =4 in the formula.

`V=(4)/(3)*3.14*(4)^3`
`V=267.9ft^3`

Answer:

The volume of the given sphere is 267.9 cubic feet.