A cone is filled with ice-cream. It also has one scoop of ice cream on top in shape of a half sphere. The diameter of the sphere is 2 in and the height of the cone is 5 in. Calculate the volume of the ice-cream in cubic yards. How do I convert inches to yards.

note: If you know the answers can please explain it to me in simple terms. I'm a noob. thank you.

2. Originally Posted by billR2D2
A cone is filled with ice-cream. It also has one scoop of ice cream on top in shape of a half sphere. The diameter of the sphere is 2 in and the height of the cone is 5 in. Calculate the volume of the ice-cream in cubic yards. How do I convert inches to yards.

note: If you know the answers can please explain it to me in simple terms. I'm a noob. thank you.
Volume of a cone of base radius r and height h is V_cone = (1/3) pi r^2 h

Volume of a hemisphere is of radius r is V_hemisphere = (2/3) pi r^3

1 yard is 36 inches, so 1 inch is 1/36 yard.

RonL

3. um what's with the / ?

4. Originally Posted by CaptainBlack
Volume of a cone of base radius r and height h is V_cone = (1/3) pi r^2 h

Volume of a hemisphere is of radius r is V_hemisphere = (2/3) pi r^3

1 yard is 36 inches, so 1 inch is 1/36 yard.

RonL
Originally Posted by billR2D2
um what's with the / ?
Are you referring to "1/36 yard" for example?

It's the ASCII version of the division symbol. So 1/36 yard = $\displaystyle \frac{1}{36}~\text{yard}$ = 0.027777778 yards.

-Dan