Question

19. The volume of a right circular cone is 9856cm3. If the diameter of the base is 28cm.

Find i) height of the cone ii) slant height of the cone iii)curved surface area of the cone.​

Answer 1

Answer:

i) 48cm

ii) 50cm

iii) 2816cm^2

Answer 2

the the volume of a right circular cone is 9856 cm cube if the diameter of the base is 28 cm.

find1.)height of the cone

2.) slant height of the cone

3.) curved surface area of the cone

solution

given:-volume of a right circular cone=9856cm^3

diameter of the base of the right circular cone=28cm

radius=28/2=14cm

1.) height of the cone

volume=1πr^2h(formula)

__

3

put the values

9856 cm^3= 1 ×22×14×14

3 × 7

h= 9856× 3 ×7

22×14×14

h=16 ×3=48cm

h=48cm

2.) slant height of the cone=

l=√h^2+r^2

l=√(48)^2+(14)^2

l=√2304+196

l=√2500

l=50cm

3.) curved surface area of the cone=πrl

=22×14×50

7

=2200cm^2

hope you may get any help