Think of the two pieces together as a single cone of height 19, and its volume.
Then think of only the upper piece as a cone, and find its volume.
The volume of the frustum is the total volume minus the volume of the upper piece.
The volume of a cone is:
![V = \dfrac{1}{3} \pi r^2 h](https://tex.z-dn.net/?f=%20V%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2%20h%20)
Total volume:
![V_t = \dfrac{1}{3} \times \pi \times 7.5^2 \times 19](https://tex.z-dn.net/?f=%20V_t%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%20%5Ctimes%20%5Cpi%20%5Ctimes%207.5%5E2%20%5Ctimes%2019%20)
Volume of upper cone:
![V_u = \dfrac{1}{3} \times \pi \times 3.5^2 \times 8](https://tex.z-dn.net/?f=%20V_u%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%20%5Ctimes%20%5Cpi%20%5Ctimes%203.5%5E2%20%5Ctimes%208%20)
Volume of frustum:
Answer:
f(1/2) =4 2/3
Step-by-step explanation:
f(x) = −2/3x+5
f(1/2) = -2/3*1/2+5 = -1/3+5 = 4 2/3
Answer: financially irresponsible
Step-by-step explanation:
Kendall is buying 5 for $9.95 when she could buy 6 for $9.65 which would get her another bottle and save 30 cents
1) When you have an exponent being raised to an exponent, you multiply them. 2*3 is 6, so you have x^6, which would make C your answer.
2) You reduce them by subtracting the top ones from the bottom ones, so it becomes x^2*z. The y's cancel out, 6-4 is 2 and 9-8 is 1. Your answer is C again.
3) As you did in one, simply multiply out the top first. The top them becomes 9x^12*y^18. Subtract the bottom exponents to get 9x^6y^9/3, which then becomes 3x^6*y^9, which is D.
4) When you have a square root over a square root, you can put the numbers inside like this:
. 81 over 27 is equal to 3, so you have sqrt3 as your answer - A.
5) You have sqrt2*2*sqrt3. You can put 2*3 under the square root together, and they multiply to 6, so you have 2sqrt6 - D.