Question

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The circumference of the ball is 9.4 inches. What is the approximate surface area and volume of the ball? Round your answers to the nearest unit.
The surface area of the ball is approximately
square inches
The volume of the ball is approximately
cubic Inches

Answer 1

i. The surface area of the ball is approximately 28.0 square inches.

ii. The volume of the ball is approximately 14.0 cubic inches.

Explanation:

The ball has the shape of a sphere, so that;

C = 2
`\pi`r

9.4 = 2 x
`(22)/(7)` x r

65.8 = 44r

r =
`(65.8)/(44)`

r = 1.50 inches

The radius of the ball is 1.50 inches.

i. Surface area of a sphere = 4
`\pi`
`r^(2)`

So that,

surface area of the ball = 4 x
`(22)/(7)` x
`(1.5)^(2)`

= 28.2857

The surface area of the ball is approximately 28.0 square inches.

ii. Volume of the ball = Volume of a sphere =
`(4)/(3)`
`\pi`
`r^(3)`

Volume of the ball =
`(4)/(3)` x
`(22)/(7)` x
`(1.5)^(3)`

= 14.1429

The volume of the ball is approximately 14.0 cubic inches.