5.025 Surface area of spheres

Find the surface area of the following spheres, correct to two decimal places:

a

b

c

d

The radius of a bowling ball is 10.9 \text{ cm}. Find the surface area of the ball, correct to three decimal places.

The planet Mars has a radius of 3390 \text{ km}. Find the surface area of Mars, correct to the nearest whole square kilometre.

The planet Jupiter has a radius of 69\,911\text{ km}, and planet Venus has a radius of 6051.8\text{ km}. Assuming both planets are spherical, how many times bigger is the surface area of Jupiter than Venus? Round your answer to one decimal place.

Consider the following hemisphere:

a

Find the area of the curved surface of the dome. Round your answer to three decimal places.

b

Find the area of the circular base of the hemisphere. Round your answer to three decimal places.

c

Hence, find the total surface area of the hemisphere. Round your answer to two decimal places.

Find the surface area of the following hemispheres, correct to three decimal places:

a

b

Find the radius, r, of spheres with the following surface areas, correct to two decimal places:

A cylinder with a radius of 2.5 \text{ cm} and a height of 10\text{ cm} contains two identical spherical balls that fit exactly inside it. Find the surface area of each ball. Round your answer to one decimal place.