The ratio of the radius of the base of a cylinder to its height is 7 : 6. If the volume of the cylinder is 294 cm3, then its base diameter is
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volume of the cylinder is = π r²h = 294 π -- given
r and h are in the ratio = 7 : 6
that means if r is 7x, then h is 6x
putting these values in the volume formula -
π into (7x)² into 6x = 294 π
π into 49 x² into 6x = 294 π
294 x³ = 294
x³ = 294/294 = 1
so, x = 1
⇒ r = 7 and h = 6
so diameter is 7 into 2 = 14
r and h are in the ratio = 7 : 6
that means if r is 7x, then h is 6x
putting these values in the volume formula -
π into (7x)² into 6x = 294 π
π into 49 x² into 6x = 294 π
294 x³ = 294
x³ = 294/294 = 1
so, x = 1
⇒ r = 7 and h = 6
so diameter is 7 into 2 = 14
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