The radius and height of a cylinder are in the ratio 4 : 7 and its vol

1.	The radius and height of a cylinder are in the ratio 4 : 7 and its volume is 2816 cm3. Find its radius. (Take π = \(\frac {22} 7\))1. 5 cm2. 7 cm3. 6 cm4. 8 cm
Answer» Correct Answer - Option 4 : 8 cm Given: Ratio of the radius and the height = 4 : 7 Volume of a cylinder = 2816 cm³ Concept used: Volume of a cylinder = π × r² × h Calculation: Let the radius and the height of a cylinder be 4x and 7x respectively. ⇒ 22/7 × (4x)² × 7x = 2816 ⇒ 16x² × 7x = (2816 × 7)/22 ⇒ (16 × 7)x³ = 128 × 7 ⇒ x³ = (128 × 7)/(16 × 7) ⇒ x³ = 8 ⇒ x = 2 Radius = 4 × 2 = 8 cm ∴ The radius of a cylinder is 8 cm.

The radius and height of a cylinder are in the ratio 4 : 7 and its volume is 2816 cm3. Find its radius. (Take π = \(\frac {22} 7\))1. 5 cm2. 7 cm3. 6 cm4. 8 cm

Answer» Correct Answer - Option 4 : 8 cm

Given:
Ratio of the radius and the height = 4 : 7
Volume of a cylinder = 2816 cm³

Concept used:
Volume of a cylinder = π × r² × h

Calculation:
Let the radius and the height of a cylinder be 4x and 7x respectively.
⇒ 22/7 × (4x)² × 7x = 2816
⇒ 16x² × 7x = (2816 × 7)/22
⇒ (16 × 7)x³ = 128 × 7
⇒ x³ = (128 × 7)/(16 × 7)
⇒ x³ = 8
⇒ x = 2
Radius = 4 × 2 = 8 cm
∴ The radius of a cylinder is 8 cm.

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The radius and height of a cylinder are in the ratio 4 : 7 and its volume is 2816 cm3. Find its radius. (Take π = \(\frac {22} 7\))1. 5 cm2. 7 cm3. 6 cm4. 8 cm

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