Question

Correct answer.

Answer 1

Answer:

18 inches

Step-by-step explanation:

Given: The heights of both cylinders are 48 inches and 32 inches. Diameter of the larger cylinder is 12 inches

To find: diameter of the larger cylinder

Solution:

Height of the larger cylinder (H) = 48 inches

Height of the smaller cylinder (h) = 32 inches

Diameter of the smaller cylinder (d) = 12 inches

Radius of the smaller cylinder (r) = d/2 =12/ 2= 6 inches

As two cylinders are similar, their heights and radii are proportional.

$\frac{r}{h}=\frac{R}{H}\\\frac{6}{32}=\frac{R}{48}\\R=\frac{6}{32}\times 48=9\,\,inches$

Diameter of the larger cylinder = 2R = 2(9) = 18 inches