Michael has two different shaped containers. The dimensions of each container are shown in the drawing.

Question

Which statement about the volumes of the cone and the cylinder is true?
Responses

AThe volume of the cylinder is 167.29 cubic inches less than the volume of the cone.
The volume of the cylinder is 167.29 cubic inches less than the volume of the cone.
BThe volume of the cylinder is 48.89 cubic inches less than the volume of the cone.
The volume of the cylinder is 48.89 cubic inches less than the volume of the cone.
CThe volume of the cone is 48.89 cubic inches greater than the volume of the cylinder.
The volume of the cone is 48.89 cubic inches greater than the volume of the cylinder.
DThe volume of the cone is 167.29 cubic inches less than the volume of the cylinder.

Answer 1

The volume of the cone is 48.89 cubic inches greater than the volume of the cylinder.
The volume of the cylinder is 48.89 cubic inches less than the volume of the cone.

Answer 2

there can only be one answer

Answer 3

My apologies for that oversight. The correct answer is:

B) The volume of the cylinder is 48.89 cubic inches less than the volume of the cone.

Answer 4

A container used to hold sugar is in the shape of a cylinder with a diameter of 8 inches and a height of 10 inches. Which measurement is closest to the volume of the storage container in cubic inches?
Responses

A2,010.62 in.³
2,010.62 in.³
B1,005.31 in.³
1,005.31 in.³
C251.33 in.³
251.33 in.³
D502.65 in.³

Answer 5

The correct response is:

A) 2,010.62 in.³

Answer 6

Interpret Prism Volume Formula
Consider that V = Bh represents the volume of a rectangular prism, where B is the area of the base of the prism and h is the prism's height.
Question 1
When finding the volume of a rectangular prism, which choice is equivalent to V = Bh?
Responses

AV = lw
V = lw
BV = Bw
V = Bw
CV = Blw
V = Blw

DV = lwh
V = lwh

Question 2

Answer 7

The correct response is:

A) V = lw

Answer 8

The formula to find the volume of a cylinder is V = Bh, where B represents the area of the base and h represents the cylinder's height. If the radius of a cylinder's base is 4 inches and the height of the cylinder is 5 inches, which choice could be used to find the cylinder's volume?

v=(4)^2(5)

v=pi(4)(5)^2

v-pie4)(5)

v=pi(4)^2(5)

Answer 9

The correct choice that represents the volume of the cylinder with a radius of 4 inches and a height of 5 inches is:

v=pi(4)^2(5)

Answer 10

Volume of Spheres
The largest ball of yarn ever created has a radius of 6 feet. It took 30 years to create.
Question 1
Which formula could you use to determine the volume of the ball of yarn?
Responses
v=bh

v=4pir^2

v=4/3r^2

v=4/3pir^3
Question 2
Using 3.14 for π, which choice is the volume of the ball of yarn? (nearest hundredth)
Responses

A87.85 cubic feet
87.85 cubic feet
B150.72 cubic feet
150.72 cubic feet
C834.68 square feet
834.68 square feet

D904.32 cubic feet
904.32 cubic feet

Answer 11

1. The correct formula to determine the volume of a sphere is:

v=4/3pir^3

2. Calculating the volume using the formula v=4/3pi(6)^3 with π = 3.14, we get:

v=4/3 * 3.14 * 6^3
v=4/3 * 3.14 * 216
v=904.32 cubic feet

Therefore, the correct response is:
D) 904.32 cubic feet