Question

Which can will hold more paint?

Calculate the volume of each paint can and then compare by finding the difference. Use 3.14 for pi. V=π⋅r2⋅h
(1 point)
Responses

Can A holds 25.12 cm3
more paint than Can B.
Can A holds 25.12 cm3 more paint than Can B.

Can B holds 25.12 cm3
more paint than Can A.
Can B holds 25.12 cm3 more paint than Can A.

Can B holds 75.36 cm3
more paint than Can A.
Can B holds 75.36 cm3 more paint than Can A.

Can A and Can B hold the same amount of paint.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To compare the volumes of the two paint cans, we need to calculate the volume of each can using the formula V = π * r^2 * h, where r is the radius and h is the height of the can.

Let's assume:
- Can A has a radius of 5 cm and a height of 6 cm.
- Can B has a radius of 4 cm and a height of 8 cm.

For Can A:
V(A) = 3.14 * 5^2 * 6
V(A) = 3.14 * 25 * 6
V(A) = 471 cm^3

For Can B:
V(B) = 3.14 * 4^2 * 8
V(B) = 3.14 * 16 * 8
V(B) = 401.92 cm^3

The difference in volume between Can A and Can B is:
471 cm^3 - 401.92 cm^3 = 69.08 cm^3

Therefore, Can A holds 69.08 cm^3 more paint than Can B.

Answer 2

Find the volume of the right rectangular prism with length = 1.5 m, width = 0.4 m, height = 3 m.

( V=l⋅w⋅h
)



(1 point)
Responses

V=180 m3
V=180 m3

V=0.6 m3
V=0.6 m3

V=1.8 m3
V=1.8 m3

V=4.9 m3

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the volume of a right rectangular prism, we use the formula V = l * w * h, where l is the length, w is the width, and h is the height of the prism.

Given:
Length (l) = 1.5 m
Width (w) = 0.4 m
Height (h) = 3 m

V = 1.5 * 0.4 * 3
V = 0.6 * 3
V = 1.8 m^3

Therefore, the volume of the right rectangular prism is 1.8 m^3.

The correct response is:
V = 1.8 m^3

Answer 4

What is the volume of a cube with a side length of 10 cm? ( V=s3

)



(1 point)
Responses

10,000 cm3
10,000 cm3

1,000 cm3
1,000 cm3

30 cm3
30 cm3

100 cm2

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the volume of a cube, we use the formula V = s^3, where s is the side length of the cube.

Given:
Side length (s) = 10 cm

V = 10^3
V = 1000 cm^3

Therefore, the volume of the cube with a side length of 10 cm is 1000 cm^3.

The correct response is:
V = 1000 cm^3

Answer 6

The volume of the right rectangular prism is 10 cm3

.

What is the missing width? ( V=l⋅w⋅h
)



(1 point)
Responses

w = 2 cm
w = 2 cm

w = 4 cm
w = 4 cm

w = 0.5 cm
w = 0.5 cm

w = 50 cm

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find the missing width of the right rectangular prism when the volume is given as 10 cm^3 and the length and height are also given (l and h), we can rearrange the formula V = l * w * h to solve for the missing width (w).

Given:
Volume (V) = 10 cm^3
Length (l) = given or unknown
Width (w) = unknown
Height (h) = given or unknown

Since V = l * w * h, we can rearrange the formula to solve for w:

w = V / (l * h)

Substitute the given values:
w = 10 / (l * h)

Since we don't have specific values for l and h, we can't determine the exact value of the missing width. Therefore, we cannot find the missing width with the information provided in this question.

The correct response is:
w = Cannot be determined from the information given.

Answer 8

the missing l is 1 and h is 5

Answer 9

[AI-generated answer — Bot GPT 3.5]

Given:

Volume (V) = 10 cm^3
Height (h) = 5 cm
Length (l) = 1 cm
Width (w) = unknown

Using the formula V = l * w * h:
10 cm^3 = 1 cm * w * 5 cm
10 cm^3 = 5w cm^2
w = 2 cm

Therefore, the missing width is 2 cm.

The correct response is:
w = 2 cm