(06.01 HC) Cone W has a radius of 10 cm and a height of 5 cm. Square pyramid X has the same base area and height as cone W.Paul and Manuel disagree on how the volumes of cone W and square pyramid X are related. Examine their arguments. Which statement explains whose argument is correct and why? Paul Manuel The volume of square pyramid X is three times the volume of cone W. This can be proven by finding the base area and volume of cone W, along with the volume of square pyramid X. The base area of cone W is π(r2) = π(102) = 314 cm2. The volume of cone W is (area of base)(h) = (314)(5) = 523.33 cm3. The volume of square pyramid X is (area of base)(h) = (314)(5) = 1,570 cm3. The volume of square pyramid X is equal to the volume of cone W. This can be proven by finding the base area and volume of cone W, along with the volume of square pyramid X. The base area of cone W is π(r2) = π(102) = 314 cm2. The volume of cone W is (area of base)(h) = (314)(5) = 523.33 cm3. The volume of square pyramid X is (area of base)(h) = (314)(5) = 523.33 cm3.

(06.02 MC) The dimensions of a conical funnel are shown below: Betty closes the nozzle of the funnel and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 14 cubic inches per minute, how long will it take for all the liquid in the funnel to pass through the nozzle? (Use π = 3.14.)

(06.04 MC) What is the shape of a parallel cross section of a sphere?

(06.03 LC) The volume of a fish tank is 20 cubic feet. If the density is 0.2, how many fish are in the tank?

(06.04 MC) If w = 10 units, x = 5 units, and y = 6 units, what is the surface area of the figure? Round your answer to the nearest tenth.

(06.01 MC) The cross-sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a height of 6 units, and the right cylinder has a height of 4 units. Which conclusion can be made from the given information?

The English phrase “taking off” will always have the same sign in ASL regardless of the situation.

What does the prefix “lexical” signify?

(06.04 MC) One link in a chain was made from a cylinder that has a radius of 2 cm and a height of 20 cm. How much plastic coating would be needed to coat the surface of the chain link? Use 3.14 for π.

(06.04 MC) One link in a chain was made from a cylinder that has a radius of 2.5 cm and a height of 22 cm. How much plastic coating would be needed to coat the surface of the chain link? Use 3.14 for π.