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?

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*[tex]2^{2}[/tex] *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)

Rau7star Rau7star · Answer 2 · 2020-04-15T05:59:57+02:00

Answer:

452.16‬ cubic inches

Step-by-step 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