Question

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 paiR cm cube then it base diameter is<br />$\pi$

Answer 1

hope you get your answer

Answer 2

Let the radius & base of Cylinder is 7x & 6x

Volume of Cylinder = 294π cm³ (given)

Volume of Cylinder = πr²h

294π = π × (7x)²× 6x

294 = 49x² × 6x

294 = 294x³

x³= 294/294

x³= 1

x= ³√1

x= 1

Radius = 7x = 7×1= 7 cm

Diameter= 2×r

Diameter= 2× 7 = 14 cm

Hence, its base diameter is 14 cm.

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