Question
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 π.(1 point)
Responses
22,155.84 m3
22,155.84 meter cubed
88,623.36 m3
88,623.36 meter cubed
16,880.64 m3
16,880.64 meter cubed
33,761.28 m3
22,155.84 m3
how did you get that again...
The formula to calculate the volume of a right circular cylinder is V = πr^2h, where r is the radius of the base and h is the height of the cylinder.
Given that the diameter is 42m, the radius (r) is half of the diameter, so r = 21m. The height (h) is given as 16m.
Plugging in the values, we get V = 3.14 * (21)^2 * 16 = 22,155.84 m^3
he volume of a right circular cylinder is 29,673 inches3 . Find the diameter of the cylinder if the height is 42 cm. Use 3.14 for π .(1 point)
Responses
5 inches
5 inches
10 inches
10 inches
30 inches
30 inches
15 inches
Let's first convert the height from 42 cm to inches.
42 cm = 42/2.54 inches = 16.535 inches (approx.)
Now we have the volume as 29,673 inches^3 and the height as 16.535 inches.
We can use the formula for the volume of a cylinder: V = πr^2h, where r is the radius of the base and h is the height of the cylinder.
We are given V = 29,673, h = 16.535, and π = 3.14.
Let's solve for the radius:
V = πr^2h
29,673 = 3.14 * r^2 * 16.535
r^2 = 29,673 / (3.14 * 16.535)
r^2 ≈ 564.86
r ≈ √564.86
r ≈ 23.76 inches
Finally, the diameter is twice the radius, so the diameter is:
2 * 23.76 ≈ 47.52 inches.
Therefore, the nearest option is 30 inches.
Question
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. (1 point)
Responses
4,578.12 ft.3
4,578.12 ft. cubed
508.68 ft.3
508.68 ft. cubed
9,156.24 ft.3
9,156.24 ft. cubed
1,458 ft.3
The formula for the volume of a right circular cylinder is V = πr^2h, where r is the radius of the base and h is the height of the cylinder.
Given that the radius is 9 feet and the height is 18 feet, we can plug these values into the formula.
V = 3.14 * (9)^2 * 18
V = 3.14 * 81 * 18
V = 4565.04 ft^3
Therefore, the nearest option is 4,578.12 ft^3.
The volume of a right circular cylinder is 7,693 cm3 . Find the height of the cylinder if the diameter is 14 cm. Use 3.14 for pi.(1 point)
Responses
12.5 cm
12.5 cm
39.25 cm
39.25 cm
175 cm
175 cm
50 cm
Given that the diameter is 14 cm, we can find the radius by dividing the diameter by 2.
Radius (r) = 14 cm / 2 = 7 cm
The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, h is the height, and π is 3.14.
Given that V = 7693 cm^3, r = 7 cm, and π = 3.14, we can solve for the height (h).
7693 = 3.14 * (7)^2 * h
7693 = 3.14 * 49 * h
7693 = 1538.86 * h
h = 7693 / 1538.86
h ≈ 5 cm
Therefore, the height of the cylinder is approximately 5 cm.
The volume of a right circular cylinder is 7,693 cm3 . Find the height of the cylinder if the diameter is 14 cm. Use 3.14 for pi.(1 point)
Responses bot choose a answer from here
12.5 cm
12.5 cm
39.25 cm
39.25 cm
175 cm
175 cm
50 cm