Question

The circumference of a grapefruit is 4π cm. Find the surface area of the grapefruit. Express your answer in terms of π.

Answer 1

We find radius first:
 C = 2 * pie * r
 r = C/(2 pie) = 4 pie cm / (2 pie) = 2 cm
 Now we find surface area: A = 4r˛ = 4 (2)^2 = 16 pie cm2
  Hence the surface area of the grapefruit fruit is 16 pie cm2.

Answer 2

Answer:

Option (a) is correct.

The surface area of sphere is $16\pi$ cm²

Step-by-step explanation:

Given : The circumference of a grapefruit is 4π cm.

We have to find the surface area of the grape fruit.

Since, Given the circumference of grape =  4π cm.

and grape is shape of sphere.

So circumference of sphere = $2\pi r$

Thus,

$4\pi=2\pi r$

Simplify for r , we get,

$2=r$

Thus, The surface area of sphere =  $4\pi r^2$

Substitute, r = 2 cm

We have,

The surface area of sphere =  $4\pi (2)^2$

Simplify, we get,

Thus, The surface area of sphere is $16\pi$ cm².