Sphere & Hemisphere PRACTICE

What is the value of π (pi) used in calculations?

• 2.71

• 3.14

• 3.33

• 4.00

How do you convert the volume of a sphere from cm^3 to in^3?

• Multiply the volume in cm^3 by 16.387

• Divide the volume in cm^3 by 16.387

• Add 16.387 to the volume in cm^3

• Subtract 16.387 from the volume in cm^3

What is the formula for the volume of a sphere?

• @@V = rac{4}{3} imes ext{π} imes r^3@@

• @@V = rac{3}{4} imes ext{π} imes r^2@@

• @@V = ext{π} imes r^3@@

• @@V = rac{1}{3} imes ext{π} imes r^3@@

What is the relationship between the diameter and radius of a sphere?

• The radius is always half of the diameter: @@r = \frac{d}{2}@@.

• The diameter is always half of the radius.

• The radius is equal to the diameter.

• The diameter is twice the radius.

If a sphere has a volume of 904.32 ft^3, what is its radius?

• @@rac{3 imes 904.32}{4 ext{π}}@@^{rac{1}{3}}

• 5.00 ft

• 6.00 ft

• 7.00 ft

How do you calculate the volume of a hemisphere with a radius of 5 inches?

• @@V = rac{2}{3} imes ext{π} imes (5)^3 = 104.72 in^3@@

• @@V = rac{1}{2} imes ext{π} imes (5)^3 = 52.36 in^3@@

• @@V = rac{3}{4} imes ext{π} imes (5)^3 = 78.54 in^3@@

• @@V = rac{4}{3} imes ext{π} imes (5)^3 = 523.60 in^3@@

If the radius of a sphere is 3 cm, what is its volume?

• 113.1 cm³

• 28.3 cm³

• 36.0 cm³

• 113.0 cm³

What is the formula for the surface area of a sphere?

• @@A = 2 imes ext{π} imes r^2@@

• @@A = 4 imes ext{π} imes r@@

• @@A = 4 imes ext{π} imes r^2@@

• @@A = rac{4}{3} imes ext{π} imes r^3@@

What is the volume of a hemisphere with a radius of 4 cm?

• 33.51 cm³

• 50.27 cm³

• 25.13 cm³

• 12.57 cm³

How do you find the radius of a sphere if you know the diameter?

• The radius is equal to the diameter.

• The radius is one-fourth of the diameter.

• The radius is half of the diameter. So, @@r = rac{d}{2}@@.

• The radius is the same as the diameter.