Question

A: What is the volume of the cone? Choose the best answer below.
1,017.9 inches^3
324 inches^3
3,053.7 inches^3
B What is the volume of the cylinder? Choose the best answer below.
3,053.7 inches^3
972 inches^3
1,017.9 inches^3
C What is the volume of the sphere? Choose the best answer below.
972 inches^3
3,053.7 inches^3
1,017.9 inches^3
D;the craft store discussed above, the clay cone is $12, the clay cylinder is $30, and the clay sphere is $28. Which is the best buy? Explain. ( hint: Which shapes gives you more clay for less money?)

Answer 1

Answer:

A: 1017.88 in^3

B: 3053.63 in^3

C: 3053.63 in^3

D: The sphere is the best buy.

Step-by-step explanation:

A:

The equation for the volume of a cone is

$Volume = \frac{1}{3} * \pi * Height *Radius^2$

The given radius of the cone is 9 inches, and the given height is 12 inches.

$V = \frac{1}{3} * \pi * 12in * (9in)^2\\\\= 1017.88 in^3$

B:

The equation for the volume of a cylinder is

$Volume = \pi * Radius^2 * Height$

The given radius of the cylinder is 9 inches, and the given height is 12 inches.

$V = \pi * (9in)^2 * 12in\\\\= 3053.63 in^3$

C:

The equation for the volume of a sphere is

$Volume = \frac{4}{3} *\pi * Radius^3$

The given radius of the sphere is 9 inches.

$V = \frac{4}{3} * \pi * (9in)^3\\\\= 3053.63 in^3$

D:

The sphere is the best buy because it has the most volume at the price. More volume is good because it means the object contains more clay. The cylinder and sphere have the same volume, but the sphere is cheaper.