what is the volume of the given figure? use 3.14 for pi and round to the nearest tenth.
circular cone, height 20 ft, slant height 24 ft, base 10 ft
To calculate the volume of a circular cone, use the formula:
V = (1/3) * π * r² * h
In this case, the height (h) is given as 20 ft, and the base diameter is given as 10 ft, meaning the radius (r) is half of that, which is 5 ft.
First, let's find the slant height (l) using the Pythagorean theorem:
l² = r² + h²
l² = 5² + 20²
l² = 25 + 400
l² = 425
l ≈ √425
l ≈ 20.62 ft
Now, we have all the required information to calculate the volume:
V = (1/3) * 3.14 * 5² * 20
V ≈ (1/3) * 3.14 * 25 * 20
V ≈ (1/3) * 3.14 * 500
V ≈ 523.33 cubic feet
Rounded to the nearest tenth, the volume of the given figure is approximately 523.3 cubic feet.
what is the volume of a pyramid that is 8 inches tall with a rectangular base that is 6 inches by 4 inches?
To calculate the volume of a pyramid, use the formula:
V = (1/3) * base area * height
In this case, the base of the pyramid is rectangular with dimensions 6 inches by 4 inches, so the base area is 6 * 4 = 24 square inches. The height of the pyramid is given as 8 inches.
Thus, the volume of the pyramid is:
V = (1/3) * 24 * 8
V = (1/3) * 192
V = 64 cubic inches.
what is the volume of a ball with a radius of 6 centimeters? use 3.14 for pi and round to the nearest hundredth
To calculate the volume of a sphere, use the formula:
V = (4/3) * π * r³
In this case, the radius (r) is given as 6 centimeters.
Let's substitute the values and calculate the volume:
V = (4/3) * 3.14 * 6³
V = (4/3) * 3.14 * 216
V ≈ (4/3) * 678.24
V ≈ 904.32 cubic centimeters
Rounded to the nearest hundredth, the volume of the ball is approximately 904.32 cubic centimeters.
a cylinder has a diameter of 10 feet and is 2 feet tall. what is the volume of the cylinder? use 3.14 for pi
To calculate the volume of a cylinder, use the formula:
V = π * r² * h
In this case, the diameter is given as 10 feet, so the radius (r) is half of that, which is 5 feet. The height (h) is given as 2 feet.
Let's calculate the volume:
V = 3.14 * 5² * 2
V = 3.14 * 25 * 2
V = 157 * 2
V = 314 cubic feet
The volume of the cylinder is 314 cubic feet.
try again
Apologies for the mistake.
To calculate the volume of a cylinder, we use the formula:
V = π * r² * h
Given that the diameter is 10 feet, we can find the radius (r) by dividing the diameter by 2.
r = 10 ft / 2 = 5 ft
The height (h) is given as 2 feet.
Now, let's calculate the volume:
V = 3.14 * 5² * 2
V = 3.14 * 25 * 2
V = 157 * 2
V = 314 cubic feet
Therefore, the volume of the cylinder is 314 cubic feet.