Question

★The volume of a right circular cone is 9856 cm³. The diameter of the cone is 28 cm. Find the height, slant height and area of the lateral surface of the cone.

Kindly don't spam______!!!​

Answer 1

GIVEN,

volume of right circular cylinder=9856cm^3

diameter of base=28cm.

then, radius=d/2=14cm

TO FIND,

• height
• slant hight(l)
• lateral surface area

______________________________

SOLUTION,

volume of right circular cone =1/3πr^2h

9856cm^3=1/3πr^2h

9856cm^3=1/3*22/7*14*14*h

9856cm^3=616/3*h

9856cm^3*3/616=h

48=h

or, h=48cm.

______________________________

${l}^{2} = {r}^{2} + {h }^{2} \\ \\ or \: \: l = \sqrt{ {r}^{2} + {h}^{2} } \\ l = \sqrt{ {14}^{2} + {48}^{2} } \\ l = \sqrt{196 + 2304} \\ l = \sqrt{2500} \\ \\ or \: \: l = 50$

hence, slant height ( l)=50cm

______________________________

lateral lateral surface area of right circular cone=πrl

=22/7*14*50

=2200cm^2

______________________________

if if you are satisfied with my answer then mark me as a brain list.