Question

Surface area of a sphere whos circle has a circumference of 14(pi symbol) cm

Answer 1

Given:

The circumference of a circle is

`14\pi cm.`

Required:

We need to find the surface area of a sphere whose circle has a circumference of

`14\pi cm.`

Step-by-step explanation:

Consider the circumference of the circle formula.

`C=2\pi r`

`Substitute\text{ C=}14\pi cm\text{ in the formula.}`
`14\pi=2\pi r`
`Divide\text{ both sides by }2\pi.`

`(14\pi)/(2\pi)=(2\pi r)/(2\pi)`
`7=r`

We get r =7cm.

Consider the surface area of the sphere.

`SA=4\pi r^2`

Substitute r = in the formula,

`SA=4\pi(7)^2`
`SA=4\pi(49)`
`SA=196\pi cm^2`

Final answer:

`The\text{ s}urface\text{ area of the sphere}=196\pi cm^2`
`The\text{ s}urface\text{ area of the sphere}=196*3.14cm^2`
`The\text{ s}urface\text{ area of the sphere}=615.44cm^2`