Volume
Volume Continued
Surface Area of Cylinders
Surface Area of Prisms
Word Problems
100
What is the volume formula for cylinder?
V = Bh or V = pi*r2*h
100
What is the relationship between volume of a cylinder and volume of a cone?
The volume of a cylinder is 3 times the volume of a cone. OR The volume of a cone is 1/3 times the volume of a cylinder.
100
What is the formula for lateral surface area of a cylinder? What is the formula for the surface area of a cylinder?
LSA = 2*pi*r*h
TSA = 2*pi*r*h + 2*pi*r2
100
What is the formula for lateral and total surface area for rectangular and triangular prisms?
LSA = Ph
TSA = Ph + 2B
100
Gordon uses the bottom of a cylindrical coffee can as a pattern for a cookie. The diameter of the coffee can is 3.24 inches and the height is 5.25 inches. Determine the volume of the cookie. Round your solution the nearest hundredth.
V = 43.26 in3
200
What is the correct formula to find volume of the cylinder that has a diameter of 7 and a height of 11.5?
a. V=pi(7)211.5
b. V=pi(3.5*11.5)2
c. V=pi*7*11.5
d. V=pi(3.5)211.5
d. V=pi(3.5)211.5
200
Who has the greater volume?
Figure A
200
What is the lateral surface area of the cylinder given? (Make sure to include units in your answer).
LSA = 149.15 in2
200
Why does the surface area of triangular prisms not have a 2B?
Because the base is a triangle and the 1/2 cancels out the 2.
200
Isabel is designing a new fish tank that is shaped like a triangular prism with lateral faces made of glass. Determine the lateral surface area of the fish tank.
192in2
300
What is the volume of the cylinder? (make sure to include units in answer)
V = 3014.4 cm3
300
What is the volume of the hemisphere given? (Round to the hundredths place.)
V = 23.84 m3
300
What is the surface area of the cylinder given? (Make sure to include units in your answer).
TSA = 714.35 ft2
300
What is the lateral surface area of the triangular prism below? (Make sure to include the units in your answer).
LSA = 2418 cm2
300
The parking lot at the local ice cream store has 4 cylindrical posts in front of the store as shown in the diagram. The top and sides of these posts need to be painted bright yellow. The diameter of the base of each post measures 1 foot, and each post is 3 feet high. How many square feet must be painted on the four posts?
43.96 ft2
400
What is the volume of the sphere given? (Round to the hundredths place.)
V = 2143.57 m3
400
How many times bigger is the volume of the cylinder than the volume of the cone?
3 times bigger
400
Jacob uses an empty can for a
project, as shown below. He peels
the label off the can and finds the
area of the label. What is the
approximate area of the can label? (Make sure to include units in your answer).
LSA = 100.48 in2
400
What is the surface area of the rectangular prism below?
TSA = 108 cm2
400
A silo shaped as a cylinder with a diameter of 4.50 meters and a height of 9.60 meters is used to store grain. How much grain, in cubic meters, is stored in the silo if it is three-fourths full? (Round to the nearest hundredth).
114.51 m3
500
What is the volume of the cone? (make sure to include units in answer)
V = 1695.6 cm3
500
The volume of the peanut-filled portion of the cone is 169.89 cm3. Which measurement is closest to the volume of the empty portion of the cone?
V = 126.84 cm3
500
If I painted all of the sides of the cylinders how much paint would I need to cover the cylinder? (Make sure to include the units in your answer.
TSA = 828.96 in2
500
What is the surface area of the triangular prism below?
TSA = 222 cm2
500
A spherical ball is filled with water. One cubic inch of water weighs 0.26127 pounds. What is the weight of the water in the ball in pounds? Round your solution the nearest hundredth.
.94 pounds