Question

The area of the base of a right circular cone is 314 cm square and its height is 15 cm find the volume of the cone.use (
$\pi = 3.14$
)







​

Answer 1

Answer:

1570 cubic cm

Step-by-step explanation:

since the volume of the cone is pi*r^2*h/3

area of base = pi * r^2(circle)

=> 314= 3.14*r^2

=>100 = r^2

=> r = 10cm

h = 15cm

V = 3.14* 10*10*15/3

=> V = 4710/3 = 1570 cubic cm

Answer 2

AnSwer -:

The volume of right circular cone =

1571.4 cm^3

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Explanation-:

Volume of the cone = (πr^2h / 3)

Area of circle = πr^2

π = 22/7 or 3.14

r = radius

H= height

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Given ,

Area of the base of right circular cone

= 314 cm^2

Since ,

We know that base of right circular cone

is circular .

Then,

area of the base = area of circle = πr^2

Find the radius of circular base -:

πr^2 = 314 cm^2


r^2 = 314 × ( 7 / 22 )

r^2 = 2198 ÷ 22 = 99.9 = 100 cm

r ^2 = 100cm

r = √100

R = 10 cm

Radius of the right circular cone = 10 cm

Given ,

Height of right circular cone = 15 cm

Now ,

Find the volume-:

Volume of the cone = (πr^2h / 3)

π = 22/7 or 3.14

r = radius = 10 cm

H= height = 15 cm

= (π × ( 10 )^2 × 15 ) / 3

= (22/ 7 ) × ( 100 × 5 )

=( 22× 500 ) ÷ 7 = 11000 ÷ 7

= 1571.4 cm^3

Therefore,

The volume of right circular cone =

1571.4 cm^3

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