Question

The volume of a spherical balloon with radius 2.6 cm is about 74 cm3. Estimate the volume of a similar balloon with radius 10.4 cm. the larger balloon has a volume of about what cm3 ?

Answer 1

Let V be the volume of the larger balloon

We will apply proportion to get the volume

$\frac{74}{V}=\frac{2.6}{10.4}$

cross-multiply

$2.6V\text{ = 769.6}$

Divide both-side by 2.6

$V=296cm^3$