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Volumes of Cylinders
Volumes of Cones
V & SA of Spheres
V & SA of Hemispheres
Challenge
100

Given a cylinder with the radius 5 cm and height 8 cm. Find the volume of this cylinder.

628 cm cubed

100
What is the formula for finding the volume of cones?
v=1/3(3.14)r^2(h)
100

What are the formulas for the volume and surface area of a sphere?

SA = 4pi(r)2

V = 4/3 pi(r)3

100

What are the formulas for the V and SA of a hemisphere?

V = 2/3 pi (r)3

SA = 3 pi (r)2

100
A cylinder has a radius of 5 meters and a height of 7 meters. What is the volume of this cylinder?
549.5
200
What is the formula for finding the volume of a cylinder?
v=3.14r^2(h)


200

Given a cone with the height of 10 cm and the base radius of 9 cm. Find the volume of this cone.

847.8 cm^3
200

A sphere has a diameter of 30 inches. Calculate the SA & V of the sphere. Leave pi in your answer

SA = 900 pi in2

V = 4500 pi in3

200

DAILY DOUBLE!!!!!

The radius of a hemisphere is 5cm. Calculate the SA (including base) and V. Leave pi in your answer.

SA = 75 pi m2

V = 83.3333 pi m3

200
When two solids are similar, the ratio of their volumes is not equal to the cube of the ratio of their corresponding linear measures. True or false?
False
300

DAILY DOUBLE!!!!!

A cylinder water tank has a diameter of 5.3 meters and height of 9 meters. What is the maximum volume that the water tank can hold? If needed round to the nearest tenth.
198.5 meters
300

Find the volume of a cone with a base radius of 6 cm and a height of 9 cm .

108 pi cm^2
300
The globe of the moon has a radius of 10 inches. Find the volume of the globe. Round your answer to the nearest whole number.
4187 cubic inches
300

A hemisphere has a volume of 18 pi inches. Find its radius.

3 in.

300

Given a cone with the volume of 56.52 in^3 and height of 6 in. Find the base radius of this cone.

2 in^3
400

A can of paint is 15 centimeters high and has a diameter of 13.6 cm. The paint can has a perimeter of 2177.9 centimeter. What is the volume of the can? Use 3.14 for pi.

2177.9 cm3

400

DAILY DOUBLE!!!!!!!

The volume of a cone with radius is one-third the area of the base times the height . The formula for the volume of an oblique cone is the same as that of a right one. The volumes of a cone and a cylinder are related in the same way as the volumes of a pyramid and a prism are related. True or False

True
400

A sphere has a diameter of 60 feet. Ignoring units, how many times larger is the volume of the sphere then the surface area? 

10 times. SA = 3600pi feet2; V = 36,000pi feet3 

400

An icecream cone has a slant height of 5 inches and a radius of 3 inches. Find the volume of the cone. Leave pi in your answer.

12 pi (in)3

400

The Ming family has a backyard kiddie pool. After a lot of splashing one afternoon, the pool is only half full. The radius is 4 ft and the height is 2 ft. What is the volume of water remaining in the pool?

16pi ft^3
500

Given a cylinder with a volume of 502.4 in^3 and radius 4 in. Find the height of the cylinder. Take pi as 3.14.

10 in
500

How many edges, faces and vertices are there on a cone?

Cone has 1 flat face which is a circle. 1 curved face ,1 vertex , 1 edge. Cylinder has 2 flat faces both are circles. 1 curved face, 2 edges, no vertices

500

Given a sphere with a volume of 904.32 in^3. Find the radius of the sphere.

6 in
500

The radius of a hemisphere is 9 cm. Ignoring units, how many times larger is the volume of the hemisphere than the surface area?

2 times

500

DAILY DOUBLE!!!!!

A cake has a slice removed and the slice is 1/5 of the cake. If the volume of the slice = 30pi (in)3 and the height of the cake is 6 inches, what is the radius of the cake?

5 inches