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
Answers
Answered by
0
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)
Answered by
0
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.
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