The radius of the cone is 6 inches, which i mentioned in option D, for the volume of a cone is 168 $\pi$ inches and its altitude is 14 inches.

Step-by-step explanation:

The given is.

Volume of the cone is 168 $\pi$

Altitude of the cone is 14 inches

Step:1

Formula for Volume of cone is,

$V = \pi r^{2} \frac{h}{3}$ ....................................(1)

Where,

V = 168 $\pi$ cubic inches

h = 14 inches

Step:2

From the Eqn (1),

168 $\pi$ = $\pi r^{2} \frac{14}{3}$ (∵ Cancel $\pi$ on both sides)

168 = $r^{2} \frac{14}{3}$

168 × 3 = $r^{2} 14$

504 = $r^{2} 14$

$r^{2}$ = 36

r = $\sqrt{36}$

r = 6 inches

Result:

Thus the radius of the cone is 6 inches, If the volume of a cone is 168 pi inches and its altitude is 14 inches.

7 0

4 years ago

SOMEONE HELPPPPPPPPPPP

snow_lady [41]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A 12 foot pine tree cast a shadow 2 feet long (the sun is high in the sky.) at the same time, a building casts a shadow 9 feet t

Oksanka [162]

Answer: The building is 54 feet tall.

Step-by-step explanation:

Set up a proportion. It should be 12/2 = x/9.
Simplify the proportion to 2x = 108.
Divide 2 to both sides of the equation. The solution should be x = 54.

7 0

4 years ago