The volume of a right circular cylinder is 29, 673 inches^3. Find the diameter of the cylinder if the height is 42 cm. Use 3.14 for pi.
A. 30 inches
B. 5 inches
C. 10 inches
D. 15 inches
First, we need to convert the height from 42 cm to inches:
42 cm * 0.393701 inches/cm = 16.535 inches
Next, we can use the formula for the volume of a cylinder:
V = πr^2h
where r is the radius and h is the height.
Given that the volume is 29,673 inches^3 and the height is 16.535 inches, we can solve for the radius:
29,673 = 3.14 * r^2 * 16.535
29,673 = 52.13 * r^2
r^2 = 569.55
r ≈ 23.86 inches
Finally, we can find the diameter by multiplying the radius by 2:
D = 2r
D = 2 * 23.86
D ≈ 47.72 inches
Therefore, the closest option is A. 30 inches.
Which of the following is the solution for the volume of a right circular cylinder with a radius of 9 feet and a height of 18 feet? Use 3.14 for pi.
Which of the following is the solution for the volume of a right circular cylinder with a radius of 9 feet and a height of 18 feet? Use 3.14 for pi.
A. 508.68 ft.^3
B. 4, 578.12 ft.^3
C. 1, 458 ft.^3
D. 9, 156.24 ft.^3
The volume of a right circular cylinder is 7, 693 cm^3. Find the height of the cylinder if the diameter is 14 cm. Use 3.14 for pi.
A. 50 cm
B. 39.25 cm
C. 12.5 cm
D. 175 cm
Which of the following is the solution for the volume of a right circular cylinder with a diameter of 42 m and a height of 16 m? Use 3.14 for pi.
A. 22,155.84 m^3
B. 33,761.28 m^3
C. 88, 623.36 m^3
D. 16, 880.64 m^3
Which of the following is the solution for the volume of a right circular cylinder with a radius of 12 feet and a height of 25 feet? Use 3.14 for pi.
A. 942 feet^3
B. 3,600 feet^3
C. 11.304 feet^3
D. 23, 550 feet^3
The formula for the volume of a cylinder is:
V = πr^2h
Given that the radius is 9 feet and the height is 18 feet, we can plug in these values and calculate the volume:
V = 3.14 * 9^2 * 18
V = 3.14 * 81 * 18
V = 3.14 * 1458
V ≈ 4576.92 cubic feet
Therefore, the volume of the right circular cylinder with a radius of 9 feet and a height of 18 feet is approximately 4576.92 cubic feet.
The formula for the volume of a cylinder is:
V = πr^2h
Given that the radius is 9 feet and the height is 18 feet, we can plug in these values and calculate the volume:
V = 3.14 * 9^2 * 18
V = 3.14 * 81 * 18
V = 3.14 * 1458
V ≈ 4575.72 ft³
Therefore, the closest option is B. 4, 578.12 ft³.
First, let's find the radius of the cylinder since we're given the diameter.
The diameter is 14 cm, so the radius (r) is half of that:
r = 14 cm / 2 = 7 cm
Next, we can use the formula for the volume of a cylinder and substitute in the values given to solve for the height (h):
V = πr^2h
Given that the volume is 7,693 cm^3, radius is 7 cm, and π is 3.14, we have:
7,693 = 3.14 * 7^2 * h
7,693 = 3.14 * 49 * h
7,693 = 154.36 * h
h = 7,693 / 154.36
h ≈ 49.91 cm
Therefore, the height of the cylinder is approximately 49.91 cm, which is closest to option A. 50 cm.
First, we need to find the radius of the cylinder since we're given the diameter.
The diameter is 42 m, so the radius (r) is half of that:
r = 42 m / 2 = 21 m
Next, we can use the formula for the volume of a cylinder and substitute in the values given to calculate the volume:
V = πr^2h
Given that the height is 16 m, radius is 21 m, and π is 3.14, we have:
V = 3.14 * 21^2 * 16
V = 3.14 * 441 * 16
V = 3.14 * 7056
V ≈ 22,155.84 m³
Therefore, the volume of the right circular cylinder with a diameter of 42 m and a height of 16 m is approximately 22,155.84 m³, which corresponds to option A. 22,155.84 m³.