Volume of the cylinder = πr²h

Correct Option: D

Volume of the cylinder = πr²h
= (22/7) x 7 x 7 x 500 = 77000
= (77 x 10³) cm³

In one revolution, area covered = Covered surface area
⇒ 2πrh = 2 x (22/7) x 42 x 120 = 31680 sq cm
in 500 revolutions,
Area covered = 31680 x 500

Correct Option: D

In one revolution, area covered = Covered surface area
⇒ 2πrh = 2 x (22/7) x 42 x 120 = 31680 sq cm
in 500 revolutions,
Area covered = 31680 x 500 = (1584 x 10⁴) sq cm
= (1584 x 10⁴) / (10⁴) = 1584 sq m

Curved surface area = 2πrh
= 2 x (22/7) x 0.25 x 3.5

Correct Option: D

Curved surface area = 2πrh
= 2 x (22/7) x 0.25 x 3.5
= 5.5 sq m
∴ Cost of painting 5.5 sq m = 10 x 5.5
= ₹ 55

Slant height (l) = √r² + h²
=√7² + 24²
= √49 + 576
= √625
= 25 cm
Curved surface area = πrl = (22/7) x 7 x 25 = 550 sq cm

Correct Option: B

Slant height (l) = √r² + h²
=√7² + 24²
= √49 + 576
= √625
= 25 cm
Curved surface area = πrl = (22/7) x 7 x 25 = 550 sq cm
∴ Area of 5 caps = 550 x 5 = 2750 sq cm

Curved surface area of right circular cone = πrl
∴ 440 = (22/7) x 14 x l

Correct Option: A

Curved surface area of right circular cone = πrl
∴ 440 = (22/7) x 14 x l
⇒ l = (440 x 7) / (22 x 14) = 10 cm