Question

The circumference of the base of a cone of height 9 in. is 44 in. Find the volume of the cone.

567in.³
462 in.³
457 in. ³
452 in.³
​

Answer 1

Answer:

462 in.³

Step-by-step explanation:

circumference of base of a cone(circle)=2πr

                                                             44 =22/7*r

                                                              r=7in

h=9cm

volume of cone = πr²h/3

                          =22/7*7*7*9/3

                           =462in.³

Answer 2

Answer:

Given,

Circumference of the base of the cone is 44 m

hence,

2πr=44 m

2×

7

22

×r=44 m

r=

44

44×7

m

hence, r=7 m(radius of base of cone.)

Now,

The volume of cone is given by

3

1

πr

3

3

1

×

7

22

×(7)

3

m

3

3

22×49

359.33 m

Step-by-step explanation:

hope it helps you