Question

17. Find the height of the cylinderwhose .

(11) volume is 3465 cm and diameter of the base is 21 cm.​

Answer 1

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VOLUME OF A CYLINDER = πr²h

NOW,

VOLUME : 3465 cm²

RADIUS : 10.5 cm

HIGHT : x

$3465 = \pi(10.5)^{2} \times x$

$3465 = \frac{22}{7} \times 110.25x$

$3465 = 346.5x$

$x = \frac{3465}{34650}$

$x = \frac{1}{10}$

$x = 0.1$

SO YOUR HEIGHT IS 0.1 cm

Answer 2

Given:

➠ Diametre = 21 cm

∴ Radius = 21 cm/2 = 10.5 cm

➢ By Applying the following formula:

⟼ Volume of a cylinder = πr²h

⟼ volume = π×(10.5)²×h

⟼ 3465 = (22/7)× 110.25×h

⟼ (3465×7)/22 = 110.25×h

⟼ 1102.5 = 110.25 × h

⟶ h = 1102.5/110.25

∴ h = 10

❍ The height of the cylinder is 10 cm.