Question

The radius and height of the cylinder are in the ratio 7:2. the volume of cylinder is 8316cm cube. find the radius and height of the cylinder?

Answer 1

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Answer 2

✬ Radius = 21 cm ✬

✬ Height = 6 cm ✬

Step-by-step explanation:

Given:

• Radius and Height of the Cylinder are in ratio 7 : 2 .
• Volume of Cylinder is 8316 cm³.

To Find:

• What is the radius and height of the cylinder ?

Solution: Let x be the common in given ratios.

• Radius = 7x
• Height = 2x

★ Volume of Cylinder = (πr²h) cubic units ★

A/q

$\small\implies{\sf }$ πr²h = 8316 cm³

$\small\implies{\sf }$ 22/7 x (7x)(7x)(2x) = 8316

$\small\implies{\sf }$ 22/7 x (98x)³ = 8316

$\small\implies{\sf }$ 2156x³ = 8316 x 7

$\small\implies{\sf }$ 2156x³ = 58212

$\small\implies{\sf }$ x³ = 58212/2156

$\small\implies{\sf }$ x³ = 27

$\small\implies{\sf }$ x = √3 x 3 x 3

$\small\implies{\sf }$ x = 3

Hence, Radius = 7x = 7(3) = 21 cm

Height = 2x = 2(3) = 6 cm

________________________

★ Check ★

→ πr²h = 8316 cm³

→ 22/7 x (21)² x (6) = 8316

→ 22/7 x 441 x 6 = 8316

→ 58212/7 = 8316

→ 8316 = 8316

Hence, LHS = RHS