Alyssa bought a paperweight in the shape of a cone. The radius was 10 centimeters and the height 9 centimeters. What's the volume of the paperweight?

300 pi, 942, or 942.477... cm^3

Step-by-step explanation:

The volume of a cone can be found using the following formula.

V= 1/3* pi* r^2* h

We know that the radius is 10 centimeters and the height is 9 centimeters.

r= 10 cm

h= 9 cm

V= 1/3* pi * (10 cm)^2 * 9 cm

First, evaluate the exponent.

(10 cm)^2= 10 cm * 10 cm = 100 cm^2

V= 1/3 * pi * 100 cm^2 * 9 cm

In terms of pi:

To solve in terms of pi, multiply all the terms that are not pi together

V= (1/3* 100 cm^2*9cm)*pi

V= (1/3* 900 cm^3)*pi

V= (300 cm^3)* pi

V= 300 pi cm^3

Using 3.14 as pi

V= 300 pi cm^3

Substitute 3.14 in for pi

V= (300*3.14) cm^3

V= 942 cm^3

Using 3.14159265 as pi

V= 300 pi cm^3

Use the pi button for pi

V= 942.477796076938 cm^3

The volume of the paperweight is 300 pi, 942, or 942.477796... cm^3

942.5 cm³

Step-by-step explanation:

pi r²h/3

π(10)²(9)/3 = 942.5 cm³