Question

A water container in the shape of a cone has a height of 5 inches and a diameter of 3.5 inches.
Enter an equation in the first blank box and a number in the second blank box to complete the statements about the
water container ___.
A. The formula to calculate the container's volume, V, with the given measurements is
B. The container can hold approximately ___ cubic inches of water. Round your answer to the nearest hundreth.

Answer 1

Answer

A. The formula to calculate the container's volume, V, with the given measurements is ⅓ π(1.25²)5.

B. The container can hold approximately 8.177 cubic inches of water. Round your answer to the nearest hundredth.

Step-by-Step Explanation

A. The formula to calculate any cone's volume is ⅓ πr²h. Replace the variables with the actual values of the cone. r stands for the cone base's radius, or half of the diameter. Because the diameter is 3.5, the radius is 1.25, or half of it. The h stands for the height of the cone. Now we can plug in the values. Our answer for this part is ⅓ π(1.25²)5.

B. Now to solve our equation. $1.25^2$ is equal to 1.5625. Now, multiply by the height. 1.5625 x 5 is equal to 7.8125. We now multiply by $\pi$. We'll use 3.14 to shorten the answer a bit. Multiply 7.8125 by 3.14 and you'll get 24.53125. Last but not least, divide this by 3 (or multiply by $\frac{1}{3}$). $\frac{24.53125}{3}$ = 8.1770833333... We now must round this to the nearest hundredth. This makes our final answer 8.177 $in^3$.