Math, asked by SHIVIGUPTA2850, 1 year ago

The radius and slant height of a cone are in the ratio 4:7.If its C.S.A is 729.Then find it's radius?

Answers

Answered by BhavyaAwasthy
1
2.6 is the radius bro
Answered by Anonymous
96

\huge\underline\mathrm{SOLUTION:-}

AnswEr:

  • The radius of the cone = 12 Cm.

Given:

  • The ratio of the radius and height of the cone is 4:7

Need To Find:

  • The radius of the cone = ?

ExPlanation:

Given that:

  • Curved surface area of the cone = πrl

Let the radius of the cone be 4x

And the height of the cone be 7x.

Now,

  • Curved surface area = 792

\mathsf {\frac{22}{7} \times 4x \times 7x = 792}

➠ 88x² = 792

➠ x² = \mathsf {\frac{792}{88} = 9 }

x = 3 cm

  • So, the radius of the cone = 4 × 3 = 12 cm.

\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}

Similar questions