Question

Im so confused and need help. Help?

Answer 1

a)2094.3951023 cubic inches
b) 65 conical cups
c) 87 cylindrical cups

Explanation:

a) the volume of a sphere is `4/3pir^3` so the volume of half of this is `2/3pir^3`

The diameter is 20 inches so the radius is 10 inches. Put this into the formula

`=>2/3 xx pi xx 10^3=(2000pi)/3`

Volume is 2094.3951023 cubic inches.

b) volume of a cone is `1/3pir^2h`
The diameter is 8 inches so the radius is 4 inches and the height is 6 inches. Put these into the formula
`=> 1/3 xx pi xx 4^2 xx 6 = 32pi`

Volume divided by the conical cup=`((2000pi)/3)/(32pi)=(125pi)/6`

=65.4498469498 cups which rounds to 65 cups

c) volume of a cylinder is `pir^2h`
This cup has a height of 6 inches and a diameter of 4 inches so the radius is 2 inches. Put these values into the formula

`=> pi xx 2^2 xx 6 = 24pi`

Volume divided by cylindrical cup =`((2000pi)/3)/(24pi)=(250pi)/9`

=87.2664625997 cups which rounds to 87 cylindrical cups