Question

the radius and height of a cylinder are in ratio 5:7 . if its volume is 4400cm3 , find radius of the cylinder​

Answer 1

Answer: formula =

volume of cylinder = pi*r^2*h

Let the values be taken as 5x and 7x

Step-by-step explanation: Pi value = 22/7

22/7 *( 5x)^2*7x=4400

22/7*25x^2*7x=4400

22*25x^3=4400

550x^3=4400

x^3 = 4400/550

x^3 = 8

x = 2cm

Hence radius = 5x = 5*2 = 10 cm

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Answer 2

✬ Radius = 10 cm ✬

✬ Height = 14 cm ✬

Step-by-step explanation:

Given:

• The radius and height of a Cylinder are in ratio 5 : 7
• Volume of the cylinder is 4400 cm³

To Find:

• What is measure of height and radius of the Cylinder?

Solution: Let x be the common in given ratios.

• Radius = 5x
• Height = 7x

★ Volume of Cylinder = (πr²h) cubic units ★

$\small\implies{\sf }$ πr²h = 4400

$\small\implies{\sf }$ 22/7 (5x)² (7x) = 4400

$\small\implies{\sf }$ 22/7 (25x²) (7x) = 4400

$\small\implies{\sf }$ 3850x³/7 = 4400

$\small\implies{\sf }$ 550x³ = 4400

$\small\implies{\sf }$ x³ = 4400/550

$\small\implies{\sf }$ x³ = 8

$\small\implies{\sf }$ x = √ 2 x 2 x 2

$\small\implies{\sf }$ x = 2

∴ Radius = 5x = 5(2) = 10 cm.

Height = 7x = 7(2) = 14 cm.

___________________________

★ Check ★

→ πr²h = 4400

→ 22/7 x (10)²(14) = 4400

→ 22/7 x 100 x 14 = 4400

→ 30800/7 = 4400

→ 4400 = 4400

Hence, LHS = RHS