Question

Amira decides to estimate the volume of an apple by modeling it as a sphere. She measures its circumference as 43.4 cm. Find the apple's volume in cubic centimeters. Round your answer to the nearest tenth if necessary.

Answer 1

Circumference C = 43.4 cm gives radius r = C/(2π) = 43.4/(2π) cm.

Volume of a sphere: V = (4/3)πr^3
= (4/3)π(43.4/(2π))^3
= (1/6) * (43.4)^3 / π^2 ≈ 1380.4 cm^3.

So the estimated volume is 1380.4 cm^3 (to the nearest tenth).