Find the volume of the following cone. Use 3.14 for π.

Height =48
Radius = 14
length of slant = 50

Question 2 options:


9847.04 cubic meters


39388.16 cubic meters


10257.33 cubic meters


41029.33 cubic meters

Respuesta :

Answer:

9847.04 cubic meters


Step-by-step explanation:

Formula of Volume of Cone is:

Volume of Cone = [tex]\frac{1}{3}\pi r^2 h[/tex]

We only need radius = 14 and height = 48, we don't need the slant height given. So we plug in r = 14 and h = 48 into the formula and figure out the volume.

[tex]V=\frac{1}{3}\pi (14)^2 (48)\\V=\frac{1}{3}(3.14) (14)^2 (48)\\V=9847.04[/tex]

Hence the volume is approximately 9847.04 cubic meters. First option is correct.

Answer:

Option A.

Step-by-step explanation:

Given information:

Height =48

Radius = 14

length of slant = 50

Volume of a cone is

[tex]V=\frac{1}{3}\pi r^2h[/tex]

where, r is radius, h is height and π=3.14.

Substitute the given values in the above formula.

[tex]V=\frac{1}{3}(3.14) (14)^2(48)[/tex]

[tex]V=(3.14) (196)(16)[/tex]

[tex]V=9847.04[/tex]

The value of cone is 9847.04 cubic meters.

Hence, the correct option is A.