Question

A globe company currently manufactures a globe that is 18 inches in diameter. If the dimensions of the globe were reduced by half, what would its volume be? Use 3.14 for π and round your answer to the nearest tenth. 381.5 in3 972.1 in3 121.5 in3 3052.1 in3

Answer 1

A

Explanation:

Got it right

Answer 2

The volume of globe is 381.51 cubic inches when the dimensions of the globe were reduced by half

Solution:

The globe is usually of spherical shape

The volume of sphere is given as:

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

Where, "r" is the radius of sphere

Given that diameter is 18 inches

Diameter = 18 inches

`Radius = (diameter)/(2)\\\\Radius = (18)/(2) = 9`

Thus radius is 9 inches

The dimensions of the globe were reduced by half

Thus radius is reduced by half

`Radius = (9)/(2) = 4.5`

Now find the volume of sphere

`V= (4)/(3) * 3.14 * 4.5^3\\\\V= 4 * 3.14 * 30.375\\\\V = 12.56 * 30.375\\\\V = 381.51`

Thus volume of globe is 381.51 cubic inches