the volume of a cylinder is 448π cm³ and height 7cm. find its diameter.. Question the volume of a cylinder is 448π cm³ and height 7cm. find its diameter.. in progress 0 Math Autumn 2 months 2021-08-13T02:36:31+00:00 2021-08-13T02:36:31+00:00 2 Answers 0 views 0

## Answers ( )

Given:–•Volume of a cylinder—-

•Height of the cylinder=7cm

Tofind:–•Diameter of the cylinder

Solution:–Weknowthatvolumeofacylinderis–––––Thus,radiusofthecylinderis8cmHence,diameter=2(8)=>16cm## To Find :

## Given :

We know that,

✫ Volume of cylinder = πr²h

we know that,

⟶ πr²h = 448π

⟶ πr² × 7 = 448

⟶ 7r² = 448π/π

⟶ 7r² = 448

⟶ r² = 448/7

⟶ r² = 64

⟶ r = √64

⟶ r = 8

So,

Diameter of cylinder = 2 × 8

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