Question

answer the question below. Type your response in the space provided What is the height of the cylinder in the diagram? Round your answer to the nearest whole V = 904.78 cm³ 6cm​

Answer 1

For this question, we use the formula for the volume of a cylinder.

(formula for vol. of cylinder)

V = π
`r^(2)`h

Where 'π' represents pi(22/7 or 3.14), 'r' represents the radius which is being squared, and 'h' stands for the height.

We utilize the information that we know:

• Radius = 6cm
• Volume = 904.78

Which we then plug into our equation(volume of cylinder formula):

V = π
`r^(2)`h

904.78 = 3.14(6^2) · h

Next solve for the h(height).

904.78 = 3.14(36) · h

904.78 = 113.04 · h

904.78 = 113.04h

/113.04 /113.04

8.00406935598 = h, which we round to 8.

8 centimetres is the height of this cylinder.