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Mathematics

Assertion (A) : The length of a cylinder is 21 cm and radius of its cross-section is 2 cm. Area covered by the cylinder in one revolution is 264 cm2.

Reason (R) : Distance travelled by the cylinder in 1 round = circumference of its cross-section.

  1. A is true, R is false.

  2. A is false, R is true.

  3. Both A and R are true.

  4. Both A and R are false.

Mensuration

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Answer

Given,

The length of a cylinder is 21 cm and radius of its cross-section is 2 cm.

On one revolution of cylinder,

Distance covered will be equal to circumference of the circular part of cylinder i.e. 2πr.

Area of distance covered = Length of cylinder × Circumference

= 21×2×227×221 \times 2 \times \dfrac{22}{7} \times 2

= 3 × 2 × 22 × 2

= 264 cm2.

∴ Assertion and Reason are true.

Hence, Option 3 is the correct option.

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