passpadi

2015

Mathematics

JAMB

Find the area of the curved surface of a cone whose base radius is 3cm and whose height is 4cm (π = 3.14)

A.

17.1 cm2

B.

27.2 cm2

C.

47.1 cm2

D.

37.3 cm2

Correct Answer: 47.1 cm2

Explanation

Find the slant height l2 = h2 + r2(h = 4 cm, r = 3 cm) l2 = 42 + 32 = 16 + 9 =25 l2 = √25 Squaring both sides l = 5cm The area of curved surface (s) =π(3)(5) 15π = 15 × 3.14 = 47.1 cm2

Find the slant height l2 = h2 + r2(h = 4 cm, r = 3 cm) l2 = 42 + 32 = 16 + 9 =25 l2 = √25 Squaring both sides l = 5cm The area of curved surface (s) =π(3)(5) 15π = 15 × 3.14 = 47.1 cm2
passpadi
©2023 Passpadi. All rights reserved.