Share

Books Shortlist

# Solution for The Radius and Height of a Right Circular Cone Are in the Ratio 5 : 12 and Its Volume is 2512 Cubic Cm. Find the Slant Height and Radius of the Cone. (Use It 𝜋 = 3.14). - CBSE Class 9 - Mathematics

ConceptSurface Area of a Right Circular Cone

#### Question

The radius and height of a right circular cone are in the ratio 5 : 12 and its volume is 2512 cubic cm. Find the slant height and radius of the cone. (Use it 𝜋 = 3.14).

#### Solution

Let the ratio be x

Height ‘h’ = 12x

∴ Slant height l =sqrt(r^2+h^2)=sqrt((5x)^2+(12x)^2)=13x

Now volume = 2512cm^3

⇒ 1/3xxpixx(5x)^2xx12x=2512

⇒ 1/3xx3.14xx25x^2xx12x=2512

⇒ x^3=(2512xx3)/(314xx25xx2)

⇒ x=2

∴ Slant height = 13x=13xx2=26cm

And, Radius of cone =5x=5xx2=10cm

Is there an error in this question or solution?

#### APPEARS IN

R.D. Sharma Mathematics for Class 9 by R D Sharma (2018-19 Session) (with solutions)
Chapter 18: Surface Areas and Volume of a Cuboid and Cube
Q: 5
Solution for question: The Radius and Height of a Right Circular Cone Are in the Ratio 5 : 12 and Its Volume is 2512 Cubic Cm. Find the Slant Height and Radius of the Cone. (Use It 𝜋 = 3.14). concept: Surface Area of a Right Circular Cone. For the course CBSE
S