Here are two spheres, with radii 3 cm and 4.5 cm
respectively. The surface
area of the smaller sphere is
367 cm. What is the surface
area of the larger sphere?
4.6 cm
3 cm
A) 417 cm2
C) 817 cm2
B) 547 cm2
D) 121.57 cm2

Given:

Radii of two spheres are 3 cm and 4.5 cm  respectively.

Surface  area of the smaller sphere is  367 cm.

To find:

The surface area of the larger sphere.

Solution:

We know that, area of similar spheres is proportional to the square of there radii.

On substituting the values, we get

On cross multiplication, we get

Divide both sides by 9.

Therefore, the area of larger sphere is 825.75 cm².

Note: All options are incorrect.

25

step-by-step explanation: