Question

The circumference of the Base of cone is 44 m . If height of cone is 9 m then it's volume is

Answer 1

Answer ------>

462 m³

Given----> Circumference of the base of cone is 44m and height of cone is 9m

To find-----> Volume of cone

Solution-----> ATQ,

Circumference of cone = 44 m

=> 2 π r = 44

=> 2 ( 22/7 ) r = 44

=> 44 r / 7 = 44

=> r = 44 × 7 / 44

=> r = 7 m

Height of cone = 9 m

Volume of cone = 1/3 π r² h

= 1/3 × ( 22/7 ) ( 7 )² × 9

= ( 22/7 ) × 7 × 7 × 3

= 22 × 7 × 3

= 154 × 3

= 462 m³

Additional information ------>

1) Area of base of cone = π r²

2) Curved surface area of cone = π r l

3) Total surface area of cone = π r ( r + l )

Answer 2

Step-by-step explanation:

Question:

The circumference of the base of the cone is 44m. If height of cone is 9m, then it's volume is

Answer:

Given:

--------------> Circumference = 44m

--------------> Height of the cone = 9m

To find:

The Volume.

Solution:

Circumference = 2πr = 44m

===> 2πr = 44m

===> πr = $\sf\dfrac{44}{2}$

===> πr = 22m

===> r = $\sf\dfrac{22}{π}$

===> r = 22÷ 22/7 = 22×7/22 = 7m.

Volume of the cone=$\sf\dfrac{1}{3}$ ×πr²h

===> $\sf\dfrac{1}{3}$×$\sf\dfrac{22}{7}$×7²×9

===> $\sf\dfrac{22}{21}$×49×9

===> 462 m³.