Formulas
What does the B mean in V=Bh?
B = the area of base
What is the volume of a cylinder whose radius is 4 feet and whose height is 3 feet. Leave in terms of pi (π ).
V=48π ft3
What is the volume of a cone that has a radius of 5 inches and a height of 12 inches. Leave your answer in terms of pi (π ).
V=100π in3
What is the volume of a sphere with a radius of 5 feet. Leave in terms of pi (π ).
V=166.6666667π ft3
Given a cylinder with a height of 4 and a radius of 3.
Is a cone with a height of 12 and radius of 3 greater than, less than, or equal to?
Equal to
What is the area of a circle?
A=π r2
What is the volume of a cylinder whose radius is 4.8 inches and has a height of 14.7 inches. Leave in terms of pi (π ).
V=338.688π in3
You get a snow cone at the fair. The paper cone you get has an opening of 2 inches in diameter and is 5 inches tall. It is really hot outside and your snow cone melts! What is the volume of the melted sugar water in your paper cone? Leave in terms of (π ).
V=1.666666667π in3
What is the volume of a sphere whose diameter is 8cm. Leave in terms of pi (π ).
V=85π cm3
Given a cylinder with a height of 4 and a radius of 3.
Is a sphere with a radius of 3 greater than, less than, or equal to?
Equal to
What is the formula for volume of a cylinder?
V=π r2h
Firas decides to start saving water by collecting rain in a barrel. He buys a barrel that is 2 feet across and 3.5 feet tall. What is the total volume of rain that Firas can collect? Leave in terms of pi (π ).
V=3.5π ft3
What is the volume of a cone whose height is 7.8mm and whose diameter is 6.4mm. Leave in terms of pi (π ).
V=26.624π mm3
Samantha is out for a hike when she stumbles upon an asteroid half-imbedded in the ground. The asteroid is almost perfectly spherical and is 37 feet in diameter. What is the volume of Samantha's asteroid? Leave in terms of pi (π ).
V=8442.166667π ft3
Given a cylinder with a height of 4 and a radius of 3.
Is a cylinder with a height of 12 and radius of 1 greater than, less than, or equal to?
Less than
What shape does this formula belong to: V=β π r2h?
Cone
Ivan is playing outside when he discovers a cylindrical well about 5 feet across. Ivan is not sure how deep it is, so he decides to get a hose and fill it up. Ivan's hose can deliver 100 cubic feet of water every hour. About how many vertical feet would Ivan fill in one hour? Round to the nearest whole number.
h=5ft per hour
You visit two ice cream shops, and both have delicious waffle cones. They both charge the same amount for the cones, but they are different sizes. Shop A's cones are 3 inches in diameter and 8 inches tall. Shop B's cones are 2.5 inches in diameter and 9 inches tall. Which shop gives you more ice cream?
Shop A
In the summers, Ruby runs an ice cream parlor in Marina. She orders ice cream in cylindrical cartons that are 10 centimeters in diameter and 15 centimeters tall. Using a scoop that is 4 centimeters in diameter, how many (perfectly spherical) scoops will Ruby get out of each carton? Round to the nearest whole number.
34 scoops
Given a cylinder with a height of 4 and a radius of 3.
Is a cone with a height of 8 and radius of 6 greater than, less than, or equal to?
Greater than
What is the formula for volume of a sphere?
V=4/3π r3
Karla just got done running the mile. She was super thirsty, so she drank water out of a cup that is 4 inches across and 8 inches tall. Karla only drank half of it. What is the volume of the water? Leave in terms of pi (π ).
V=16π in3
This is the height of a cone whose volume is 307.88 centimeters and has a radius of 7 centimeters. Round to the nearest whole number.
h=6cm
What is the radius of a sphere whose volume is 113.1ft3.
r=3ft
Given a cylinder with a height of 4 and a radius of 3.
Is a sphere with a radius of 4 greater than, less than, or equal to?
Greater than