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