Quiz about NEW 2024 8.7a Volume of cylinders, cones and spheres

Question 1

The diagram shows the dimensions of a container in the shape of a cylinder with a lid in the shape of a hemisphere.

Which measurement is closest to the volume of the figure in cubic centimeters?

Accepted Answer

254.47 cubic cm.

Answer

141.37 cubic cm.

Answer

197.92 cubic cm.

Answer

311.02 cubic cm.

Question 2

Mount Fuji in Japan can be modeled as a cone with a diameter of 25 miles and a height of 2.35 miles. Which formula will find the volume of Mount Fuji in cubic miles?

Accepted Answer

$$V=\frac{1}{3}\pi12.5^2\cdot2.35$$

Answer

$$V=\frac{1}{3}\pi25^2\cdot2.35$$

Answer

$$V=\pi12.5^2\cdot2.35$$

Answer

$$V=\pi25^2\cdot2.35$$

Question 3

Mount Fuji in Japan can be modeled as a cone with a diameter of 25 miles and a height of 2.35 miles. Which measurement is closest to the volume of Mount Fuji in cubic miles?

Accepted Answer

$$V=384.52\ mi^3$$

Answer

$$V=1538.07\ mi^3$$

Answer

$$V=4614.21\ mi^3$$

Answer

$$V=1153.55\ mi^3$$

Question 4

A container that holds sugar is shaped like a cylinder. The radius of the container is 3 inches, and the height of the container is 10.5 inches. Which formula will help find volume of the container in cubic inches?

Accepted Answer

$$V=\pi3^2\cdot10.5$$

Answer

$$V=\pi1.5^2\cdot10.5$$

Answer

$$V=\frac{1}{3}\pi3^2\cdot10.5$$

Answer

$$V=\frac{4}{3}\pi3^3$$

Question 5

A container that holds sugar is shaped like a cylinder. The radius of the container is 3 inches, and the height of the container is 10.5 inches. Which formula will help find volume of the container in cubic inches?

Accepted Answer

$$V=296.88\ inches^3$$

Answer

$$V=74.22\ inches^3$$

Answer

$$V=24.74\ inches^3$$

Answer

$$V=113.10\ inches^3$$

NEW 2024 8.7a Volume of cylinders, cones and spheres

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