Question

Cindy has a cylindrical container in her kitchen with the the measurements shown below. If 3/4 of the space inside the container is filled with sugar, how many cubic inches of sugar are in the container?

Answer 1

25.12 (inches³)

Explanation:

In your question, there are no information for the cylindrical container dimensions. So allow me to assume them and hope it will fit with the original one.

• The radius: 2 inch
• The height: 3 inch

As we know that the formula to find out the Volume of a cylindrical container is:

V = 2 π r² h (inches³)

<=> V = 2*3.14*
`2^(2)` *3 = 75.35 (inches³)

So if 3/4 of the space inside the container is filled with sugar, the cubic inches of sugar are in the container is:

1/3 the Volume of the cylindrical container

= 1/3*75.35 = 25.12 (inches³)

Answer 2

452.16‬ cubic inches

Explanation:

In the complete question, 4 inch is the radius 12 inch is the height

r²= 16

cubic inches of container is filled with sugar = 3/4 (Volume of the cylinder)

Volume of cylinder can be determined by, π r² h

Volume of a cylinder (V) = π r² h (in³)

Therefore, cubic inches of container is filled with sugar = (π r² h) x 3/4

Substituting the values in above equation,

cubic inches of sugar that are in the container =(3.142 x 16 x 12) x 3/ 4

=> 1,809.792 / 4

=>452.16‬ cubic inches

Thus, cubic inches of sugar are in the container is 452.16‬ in³