Calculate the amount of tomato soup that will fill a can with a radius of 3 inches and height of 5 inches. Use 3.14 for pi
V = π⋅r2⋅h
(1 point)
Responses
565.2 in3
565.2 in3
35.33 in3
35.33 in3
141.3 in3
141.3 in3
45 in3
565.2 in3
recheck ur answer
Using the formula V = π⋅r2⋅h, where r is the radius and h is the height:
V = 3.14 * (3^2) * 5
V = 3.14 * 9 * 5
V = 3.14 * 45
V = 141.3 in3
Therefore, the correct answer is 141.3 in3.
Calculate the volume of the cylinder with a diameter of 20 feet and height of 12 feet. Use 3.14 for pi.
V = π⋅r2⋅h
(1 point)
Responses
15072 ft3
15072 ft3
314 ft3
314 ft3
1256 ft3
1256 ft3
3768 ft3
First, we need to find the radius from the diameter:
Radius, r = diameter / 2 = 20 ft / 2 = 10 ft
Now, we can use the formula V = π⋅r2⋅h to find the volume:
V = 3.14 * (10^2) * 12
V = 3.14 * 100 * 12
V = 3.14 * 1200
V = 3768 ft3
Therefore, the correct answer is 3768 ft3.
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.
Can A is 5in at base and 8in in hight
Can B is 4 inches at base and 13 inches at hight
Let's first calculate the volume of each paint can using the formula V = π⋅r2⋅h.
For Can A:
Radius, r = 5 in / 2 = 2.5 in
Height, h = 8 in
V(A) = 3.14 * (2.5^2) * 8
V(A) = 3.14 * 6.25 * 8
V(A) = 3.14 * 50
V(A) = 157 cm3
For Can B:
Radius, r = 4 in / 2 = 2 in
Height, h = 13 in
V(B) = 3.14 * (2^2) * 13
V(B) = 3.14 * 4 * 13
V(B) = 3.14 * 52
V(B) = 163.28 cm3
Now let's compare the volumes:
V(B) - V(A) = 163.28 - 157 = 6.28 cm3
Therefore, Can B holds 6.28 cm3 more paint than Can A.
The closest answer option is:
Can B holds 6.28 cm3 more paint than Can A.
not an answer
I apologize for the oversight. Let's compare the volumes of Can A and Can B again:
For Can A:
V(A) = π * (2.5^2) * 8
V(A) = 3.14 * 6.25 * 8
V(A) = 150 in3
For Can B:
V(B) = 3.14 * (2^2) * 13
V(B) = 3.14 * 4 * 13
V(B) = 157.52 in3
Now let's find the difference:
V(B) - V(A) = 157.52 - 150
V(B) - V(A) = 7.52 in3
Therefore, Can B holds 7.52 in3 more paint than Can A.