Answer:
The volume required to fill the punch bowl till 1 inch from the top is 1385.44 inches³
Step-by-step explanation:
Total Height of the punch bowl = 10 inches
Diameter of the bowl = d = 14 inches
Since, radius is half of the diameter, the radius of the bowl would be = r = 7 inches.
The shape of punch bowl is given to be cylindrical and we have to find the volume of the bowl. The formula to calculate the volume of a cylinder is:
[tex]Volume=\pi r^{2} h[/tex]
Here, h represents the height.
We have to find the volume to fill the bowl till 1 inch from the top. Since, the height of bowl is 10 inches, we have to fill it to 9 inches. Therefore, the value of height(h) which we will substitute in the formula will be 9. Using the values in the formula gives us:
[tex]Volume =\pi (7)^{2} \times 9\\\\ Volume =441\pi \\\\ Volume = 1385.44[/tex]
This means, the volume required to fill the punch bowl till 1 inch from the top is 1385.44 inches³
