A cylinder has an 18-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed within the cylinder, and then the cylinder is filled with water. How much water is in the cylinder? Give
your answer in terms of pi.
1,162 in
1,179 in
1,215 in
1,251 in

water in cylinder = 1.179π in³

Volume is a derivative quantity derived from the length

The unit of volume can be expressed in liters or milliliters or cubic meters

The volume of the cylinder

V = πr².h

the volume of ball

V= 4/3πr³

volume of cylinder

volume of the ball

water in the cylinder

V cylinder - V ball

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step-by-step explanation:

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm