Question

The volume of the right circular cone is 9856 cubic cm. If diameter of the base is 20 cm.Find height , slant height and curved surface area.

Answer 1

Answer:

radius =10 by formulas found it

Answer 2

Height of the cone = 94.08 cm

Slant height of the cone = 94.61 cm

Curved surface area of the cone = 2973.46 $cm^{2}$

• Given,

           Diameter of the base = 20 cm

           Radius of the base = 20/2 = 10 cm

            Volume of the cone = 9856 $cm^{3}$

                       $\frac{1}{3}\pi r^{2}h=9856$

                       $\frac{1}{3}(\frac{22}{7})10^{2}h=9856$

                       $h=\frac{9856*21}{2200}$

                      h = 94.08 cm

∴ Height of the cone = 94.08 cm

• Slant height of the cone,

               $l=\sqrt{h^{2}+r^{2}}$

               $l=\sqrt{94.08^{2}+10^{2}}$

               $l=\sqrt{8951.0464}$

               $l=94.61cm$

∴ Slant height of the cone = 94.61 cm

• Curved surface area of the cone is given by

               $C=\pi rl$

               $C=\frac{22}{7}*10*94.61$

               C = 2973.46 $cm^{2}$

∴ Curved surface area of cone is 2973.46 $cm^{2}$