Question

Is this 11 yards or 8 yards?

A cylinder with a diameter of 8 yards has a volume of 552.64 yd3. What is the height of the cylinder? Use 3.14 for π.

44 yards
11 yards
8 yards
3 yards

Answer 1

11 yards.

Explanation:

A cylinder's volume is π r² h

Where π = 3.14

r = 4 (since radius is half of diameter)

v (volume) = 552.64

So in this case we are solving for h, height.

So rewrite:

552.64 = (3.14)(4)^2(h)

So now we solve:

1. Evaluate exponent:

552.64 = (3.14)(16)(h)

2. Multiply

552.64 = 50.24h

3. Divide to get h by itself

552.64 / 50.24 = 50.24 / 50.24 (h)

11 = h

Hence the height of the cylinder is 11 yards.

Also I’ve attached below pictures to help further prove. The 10.99 is rounded up to 11.