Cones
What two measurements do you need to find the volume of a cone?
The height of the cone and the radius of the cone's base.
What two measurements do you need to find the volume of a cylinder?
The height of the cylinder and the radius of the base of the cylinder.
What measurement do you need to find the volume of a sphere?
The radius of the sphere.
A volume measurement is always given in cubic units. Why?
Because volume represents the three-dimensional space an object occupies.
What is the Pythagorean Theorem?
a2 + b2 = c2
What is the formula used to calculate volume for a cone?
V=1/3pir^2h
What is the formula used to calculate volume for a cylinder?
V=pir^2h
What is the formula used to calculate volume for a sphere?
V=4/3pir^3
Find the volume of a rectangular prism with the dimensions 4 ft by 6 ft by 10 ft.
240 cubic feet
In a right triangle, what is the longest side called?
the hypotenuse
Find the volume of a cone, where the radius is 20 feet and the height is 60 feet. Use the pi button and round to the nearest tenth.
25132.7 ft^3
Find the volume of a cylinder with the height of 6 inches and the radius of 3 inches.Use the pi button and round to the nearest tenth.
169.6 cubic inches
What is the volume of a sphere with a 3 yard radius? Use the pi button and round to the nearest tenth.
113.1 cubic yards
If a rectangular driveway uses 40 cubic feet of concrete and the driveway measures 10 ft by 8 ft, how thick is the concrete?
1/2 ft (or 6 inches)
Given a right triangle with legs that measure 15 cm and 36 cm, what is the length of the hypotenuse?
39 cm
What is the volume of a cone with a 6 millimeter diameter and a 5 millimeter height? Use the pi button and round to the nearest tenth.
47.1 mm^3
Find the volume of a cylinder with the diameter of 8 inches and a height of 7 inches. Use the pi button and round to the nearest tenth.
351.9 cubic inches
What is the volume of a sphere with a 6 foot radius? Use the pi button and round to the nearest tenth.
904.8 cubic feet
What is the total volume of a six-pack of soda cans if each can is 5 inches tall and 3 inches wide? Use the pi button and round to the nearest tenth.
about 212.1 cubic inches
Given a right triangle with a leg of 18 in and a hypotenuse of 30 in, what is the length of the missing leg?
24 in
Find the volume of a cone with a diameter of 15 centimeters and a height of 3.5 centimeters. Use the pi button and round to the nearest tenth.
206.2 cm^3
Jen is having a lemonade stand. The cups she is using for lemonade are 2 inches in diameter and 5 inches in height (but she is only filling them up 4 inches high so the lemonade doesn't spill). Her pitcher holds 150 cubic inches of lemonade. About how many cups can she fill with one pitcher? (Round to the nearest whole cup.)
Jen can fill about 12 cups with 1 pitcher of lemonade.
What is the volume of a sphere with a 3 foot diameter? Use the pi button and round to the nearest tenth.
V= 14.1 cubic feet
What is the volume of a kickball that is 11 inches in diameter? Use the pi button and round to the nearest tenth.
about 696.9 cubic inches
A rectangular garden has a path across the middle, connecting diagonally. If the diagonal path is 50 ft and one side of the garden is 30 ft, what is the perimeter of the garden?
140 ft