Question

the volume of this cylinder is 785 cubic yards. what is the radius?
round your answer to the nearest hundredth.
10 yd
r ≈ yards

Explanation:

Step1: Recall cylinder volume formula

The volume \( V \) of a cylinder is \( V = \pi r^2 h \), where \( r \) is radius and \( h = 10 \) yd (given height).

Step2: Plug in known values

Substitute \( V = 785 \), \( h = 10 \), \( \pi \approx 3.14 \):
\( 785 = 3.14 \times r^2 \times 10 \)

Step3: Simplify the equation

Calculate \( 3.14 \times 10 = 31.4 \):
\( 785 = 31.4 r^2 \)

Step4: Solve for \( r^2 \)

Divide both sides by 31.4:
\( r^2 = \frac{785}{31.4} = 25 \)

Step5: Find \( r \)

Take square root:
\( r = \sqrt{25} = 5 \)

Answer:

5.00 yards