A birthday cake is being made using a cylindrical baking pan. The radius of the pan is 4 inches, and the height is 5 inches. Which formula represents the correct way to calculate the volume of the cake?
V = (4) (5)
V = pi (4) (5)
V = pi (5) squared (4)
V = pi (4) squared (5)
The correct formula to calculate the volume of the cake is V = pi (4 squared) (5)
A sphere has a radius of 16 in. Which statements about the sphere are true? Check all that apply.
The sphere has a diameter of 8 in.
The volume of the sphere is StartFraction 2,048 Over 3 EndFraction pi inches cubed.
The sphere has a diameter of 32 in.
The radius’s length is one-half the length of the diameter.
The volume of the sphere is StartFraction 16,384 Over 3 EndFraction pi inches cubed.
The diameter’s length is one-half the length of the radius.
The correct statements about the sphere are:
- The sphere has a diameter of 32 in.
- The volume of the sphere is 16,384π cubic inches.
- The radius's length is one-half the length of the diameter.
- The diameter's length is one-half the length of the radius.
What is the height of a cylinder with a volume of 384 pi cubic inches and a radius of 8 inches? Round to the nearest tenth of an inch.
The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.
Given that the volume is 384π cubic inches and the radius is 8 inches, we can rearrange the formula to solve for the height:
384π = π(8^2)h
384 = 64h
h = 384/64
h = 6 inches
Therefore, the height of the cylinder is 6 inches.
What number can be used to complete the volume statement for the cone?
A cone with height 4 meters and diameter 3 meters.
Volume =
Pi meters cubed
To calculate the volume of a cone, the formula is V = (1/3)πr^2h, where V is the volume, r is the radius, and h is the height.
Given that the height is 4 meters and the diameter is 3 meters, we can calculate the radius by dividing the diameter by 2:
Radius = Diameter/2 = 3/2 = 1.5 meters
Now, we can substitute the values into the formula to find the volume:
V = (1/3)π(1.5^2)(4)
V = (1/3)π(2.25)(4)
V = (1/3)π(9)
V = (1/3)(9π)
V = 3π
Therefore, the volume of the cone is 3π meters cubed.
A paint can has a radius of 4 inches and a height of 15 inches. What is the volume of the paint can? Round to the nearest tenth. Use 3.14 for Pi.
cubic inches
The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.
Given that the radius is 4 inches and the height is 15 inches, we can substitute the values into the formula to find the volume:
V = π(4^2)(15)
V = π(16)(15)
V = π(240)
V = 240π
To round to the nearest tenth, we can use the value of π as 3.14:
V = 240(3.14)
V = 753.6
Therefore, the volume of the paint can is approximately 753.6 cubic inches.
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 pi feet cubed.
A sphere with height h and radius r. A cylinder with height h and radius r.
Which equation gives the volume of the sphere?
V = two-thirds (27 pi)
V = four-thirds (27)
V = two-thirds (27)
V = four-third (27 pi)