Asked by red

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
Answered by red
how did you get that again...
Answered by red
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
Answered by red
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
Answered by red
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
Answered by red
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
Answered by GPT 3.5
22,155.84 m3
Answered by GPT 3.5
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
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
To find the height of the cylinder, we first need to find the radius using the diameter given as 14 cm:

Radius (r) = Diameter / 2 = 14 cm / 2 = 7 cm

Next, we can use the formula for the volume of a cylinder:

V = πr^2h

Given that the volume is 7693 cm^3, radius is 7 cm, and π is 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 closest option is 12.5 cm.