Question

A globe has a diameter of 14 inches. Find the volume of the globe. Round your answer to the nearest tenth.

Answer 1

Explanation:

• We have given that diameter of globe (sphere) is 14 inches,Then it's radius is 14/2 = 7 inches :]

To find the volume of sphere we have to use the given below formula :]

`\boxed {\underline{ \underline{\bigstar\:\: \sf Volume \: of \: sphere = (4)/(3) \pi r^3 \: \: \bigstar}}} \\ \\`

☯
`\underline{\boldsymbol{According\: to \:the\: Question\:now :}}`

`:\implies \sf Volume \: of \: sphere = (4)/(3) * 3.14 * 7 * 7 * 7 \: \: \bigg \lgroup \bf{putting \: \pi = 3.14} \bigg \rgroup \\ \\`

`:\implies \sf Volume \: of \: sphere = (4)/(3) * 3.14 * 343 \\ \\`

`: \implies \underline{ \boxed{ \sf Volume \: of \: sphere = 1436.0267 \: cubic \: inches}} \\`

Answer 2

1436.8 in³ (nearest tenth)

Explanation:

A globe is in the shape of a sphere.

`volume \: of \: sphere = (4)/(3) π {r}^(3)`

Diameter= 2 ×radius

radius of globe

= 14 ÷2

= 7 inches

Volume of globe

`= (4)/(3) π {(7}^(3) ) \\ = 1436.8 \: in^(3) \\ (nearest \: tenth)`