Question

The height of a right circular cone is 35cm and the area of its curved surface is four times the

area of its base. What is the volume of the cone (in 10-3 m3​

Answer 1

Answer:

1.483×10^-5 m3

Step-by-step explanation:

HEIGHT IS 35CM

4( 22/7×1/2×R^2×35)=22/7×R^2×H

4(11/7×R^2×35)=

11/7×35×R^2 ×4

220=R2. 2√55 cm

VOLUME IS 2√55 cm into m cube

14.832 cm to m3

1.483×10-5 m3 (IT WILL HELP YOU)

Answer 2

The volume of cone is 3 × 10`3m³.

Height of right circular cone = 35cm (Given)

Area of the curved surface of cone = four times the area of base of cone

= πrl = 4 × πr²

= l = 4r --- eq 1

Slant height of cone = h² + r² = l²

Substituting l = 4r

Thus,

= (4r)² = 35² + r²

= 16r² = 1225 + r²

= 15r² = 1225

= r² = 1225/15

= r² = 81.6

Volume of cone = 1/3πr²h

= 1/3 × 22/7 × 81.6 × 35

= 2994.56 cm³

= 2994.56 × 10⁻`6

= 2.99 × 10`3

= 3 × 10`3m³

Thus, the volume of cone is 3 × 10`3m³.