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.

5.0 cm

Step-by-step 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

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