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the volume of right circular cylinder varies partly as its height and the square of the radius of its circular base. if the volume of such cylinder whose altitude is 8 cm and whose radius is 3 cm is 72 π cm². what is the volume of cylinder, if the radius is 5 cm and the height is 12 cm?

Sagot :

V = volume
H = height/altitude
R= radius

V = πhr²
= π (12 cm)(5 cm)²
= 300π cm ³

V=khr²
72 π cm³ = k (8 cm)(3 cm)²
72 π cm³ = k (8 cm)(9 cm)²
72 π cm³ = k 72 cm³
π = k