Question

Troy has a cylindrical vase that holds exactly 1,000 cm3 of liquid. He knows that the formula for finding the volume of a cylinder is V = pir^2h

where r is the radius of the cylinder's base and h is the height of the cylinder. He also knows that his vase is 12.75 cm tall. What is the radius of

Troy's vase? Round your answer to the nearest tenth.

Answer 1

5.0 cm

Explanation:

Volume of a cylinder = πr²h

Height,h = 12.75 cm

π = 3.14

Radius,r = r

Volume of the cylinder = 1,000 cm³

Volume of a cylinder = πr²h

1000 = 3.14 × r² × 12.75

1000 = 40.035r²

r² = 1000/40.035

r² = 24.978

r = √24.978

r = 4.99 cm

Approximately 5.0 cm