143k views
2 votes
How much water will a cone hold that has a diameter of 6 inches and a height of 21 inches. Use 3.14 for and round your answer to the nearest whole number. A 66 cubic inches B) 198 cubic inches © 594 cubic inches 32374 cubic inches

How much water will a cone hold that has a diameter of 6 inches and a height of 21 inches-example-1

1 Answer

7 votes

To the nearest whole number, the amount of water the cone will hold is 198 in^3

Here, we want to calculate the amount of water the cone will hold

What this mean is that we are to calculate the volume of the cone

To do this, we are going to use the formula for the volume of a cone as follows;


\begin{gathered} V\text{ = }(1)/(3)*\pi* r^2* h \\ \\ \pi\text{ = 3.14} \\ r\text{ =}(d)/(2)\text{ = }(6)/(2)\text{ = 3 in} \\ h\text{ = 21 in} \\ \\ V\text{ = }(1)/(3)*3.14*3^2*21 \\ \\ V=197.82in^3 \end{gathered}

To the nearest whole number, the amount of water the cone will hold is 198 in^3

User Dawid Adach
by
3.4k points