10.3 Applying Volume of Cylinders & Cones

Rolando has two identical cylinders filled with soda. How many cones should he be able to fill with water if the cones have the same radius and height as the cylinder?

• 3 cones

• 6 cones

• 9 cones

• 12 cones

If a cone has a volume $1846.32\ cm^3$ and a height of $12\ cm$  . What is the radius of the cone? (Use 3.14 for pi.)

• 7.8 cm

• 12.1 cm

• 36 cm

• 147 cm

SPS uses a gatorade cooler for a school fundraiser. The cooler has a diameter of 20 inches and a height of 48 inches. Families can purchase drinks in small cone-shaped cups from the cooler. If the cups have a diameter of 4 and height of 3, approximately how many cups full could be filled from the cooler?

• 900

• 1200

• 1500

• 2500

A cone has a slant height of 17 inches and a diameter o 30 inches. What is the volume of the cone?

• $7563\ inches^3$

• $4003.5\ inches^3$

• $1884\ inches^3$

• $125.6\ inches^3$

Mr. Baranishyn bought Logan Pro-Biotic "doggy" frozen yogurt (true story). The container has a diameter of 4 inches and a height of 2.5 inches. If it costs $0.15 for each cubic inch filled up, how much does it cost to fill the container to the top with yogurt?

• $31.4

• $2.45

• $3.14

• $4.71

A spa has a radius of 12 feet and a depth of 5 feet. Mrs. Baranishyn only wants to fill it up a fourth of the way to let her baby cousins play in it. If one cubic foot holds 7.48 gallons, how many gallons of water would fill up a fourth of the spa?

• 2260.8 gallons

• 565.2 gallons

• 4227.7 gallons

• 448.8 gallons