The volume V (in cubic feet) of a right cylinder with a height of 6 feet and radius r (in feet) is given by V=6πr2 . Solve the formula for r . Then find the radius of the cylinder when the volume is 1206 cubic feet. Round your answer to the whole number.
1 answer:
Answer:
a) r = √V/6π
b) r = 8 inches
Step-by-step explanation:
a) The volume V (in cubic feet) of a right cylinder with a height of 6 feet and radius r (in feet) is given by V=6πr2 . Solve the formula for r .
Solving for r means making r the subject of the formula
= V=6πr²
Divide both side by 6π
V/6π = 6πr²/6π
r² = V/6π
r = √V/6π
b) Then find the radius of the cylinder when the volume is 1206 cubic feet. Round your answer to the whole number.
r = √V/6π
V = 1206 ft³
r = √1206/6π
r = √(63.98028712294193)
r = 7.9987678503 inches
Approximately r = 8 inches
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