find the volume of a right circular cylinder with a heigh of 32 cm and a radius of 12 cm. use 3.14 for π. include two decimal places
The formula to calculate the volume of a right circular cylinder is V = πr^2h, where r is the radius and h is the height.
Given that the radius (r) is 12 cm and the height (h) is 32 cm:
V = 3.14 * (12)^2 * 32
V = 3.14 * 144 * 32
V = 144 * 3.14 * 32
V = 4523.04 cm^3
Therefore, the volume of the right circular cylinder is 4523.04 cm^3.
thats not right
I apologize for the mistake in my previous response. Let me recalculate the volume with the correct formula.
The formula for the volume of a right circular cylinder is given by V = πr^2h, where r is the radius and h is the height.
Given that the radius (r) is 12 cm and the height (h) is 32 cm:
V = 3.14 * (12)^2 * 32
V = 3.14 * 144 * 32
V = 4524.48 cm^3
Therefore, the volume of the right circular cylinder with a height of 32 cm and a radius of 12 cm is 4524.48 cm^3. Thank you for pointing out the error, and I appreciate your patience.
A farmer wants to know how much corn he is going to sell at the end of the season. He stores the corn in a silo, which is in the shape of a right circular cylinder. If the height is 40 feet, and the diameter is 15 feet, what is the volume? Use 3.14 for π .
__ feet^3
To calculate the volume of the right circular cylinder (silo) with a height of 40 feet and a diameter (which is equal to 2 times the radius) of 15 feet, we first need to find the radius.
Given that the diameter is 15 feet, the radius (r) is half of the diameter, so r = 15 ft / 2 = 7.5 ft.
Now, we can calculate the volume of the silo using the formula V = πr^2h, where r is the radius and h is the height.
V = 3.14 * (7.5)^2 * 40
V = 3.14 * 56.25 * 40
V = 3.14 * 2250
V = 7065 ft^3
Therefore, the volume of the silo, and hence the amount of corn the farmer can store, is 7065 cubic feet.
Michelle just bought a 5-gallon paint can. The paint bucket resembles a right circular cylinder. If the height is 15.6 inches, and the radius is 5.9 inches, what is the volume of the paint bucket? Use 3.14 for π . Round to the nearest tenth.
__ inches^3
To calculate the volume of the right circular cylinder (paint can) with a height of 15.6 inches and a radius of 5.9 inches, we will use the formula V = πr^2h, where r is the radius and h is the height.
Given that the radius (r) is 5.9 inches and the height (h) is 15.6 inches:
V = 3.14 * (5.9)^2 * 15.6
V = 3.14 * 34.81 * 15.6
V = 1712.5816
Rounded to the nearest tenth, the volume of the paint can is approximately 1712.6 cubic inches.
Therefore, the volume of the paint bucket is 1712.6 cubic inches.
thats not right
Let's recalculate the volume of the paint bucket with the correct measurements.
Given:
Radius (r) = 5.9 inches
Height (h) = 15.6 inches
Volume formula for a right circular cylinder: V = πr^2h
Substitute the values:
V = 3.14 * (5.9)^2 * 15.6
V = 3.14 * 34.81 * 15.6
V = 1723.1848
Rounded to the nearest tenth, the volume of the paint bucket is approximately 1723.2 cubic inches.
Therefore, the volume of the paint bucket is 1723.2 cubic inches.