Which equation can be used to find V, the volume of the cylinder in cubic centimeters?
Responses
A V = π(7)2
hV = π ( 7 ) 2 h
B V = π(7h)2
V = π ( 7 h ) 2
C V = π(14)2
hV = π ( 14 ) 2 h
D V = π(14h)2
V = π ( 14 h ) 2
11 answers
B V = π(7h)2
you are wrong
Apologies for the mistake.
The correct equation to find V, the volume of the cylinder in cubic centimeters, is:
A V = π(7)2h
The correct equation to find V, the volume of the cylinder in cubic centimeters, is:
A V = π(7)2h
the diameter is 14cm
Which equation can be used to find V, the volume of the cylinder in cubic centimeters?
Responses
A V = π(7)2
hV = π ( 7 ) 2 h
B V = π(7h)2
V = π ( 7 h ) 2
C V = π(14)2
hV = π ( 14 ) 2 h
D V = π(14h)2
V = π ( 14 h ) 2
Which equation can be used to find V, the volume of the cylinder in cubic centimeters?
Responses
A V = π(7)2
hV = π ( 7 ) 2 h
B V = π(7h)2
V = π ( 7 h ) 2
C V = π(14)2
hV = π ( 14 ) 2 h
D V = π(14h)2
V = π ( 14 h ) 2
Apologies for the mistake in my previous response.
The correct equation to find V, the volume of the cylinder in cubic centimeters, when the diameter is 14 cm is:
D V = π (7h)2
The correct equation to find V, the volume of the cylinder in cubic centimeters, when the diameter is 14 cm is:
D V = π (7h)2
r = 4.5
Which choice could you use to find the volume of the given sphere? (π = 3.14)
Responses
A V = 4(3.14)(4.5)3
V = 4(3.14) ( 4.5 ) 3
B V = 43
(3.14)(4.5)2
V = 4 3 (3.14) ( 4.5 ) 2
C V = 43
(3.14)(4.5)3
V = 4 3 (3.14) ( 4.5 ) 3
D V = (3.14)(4.5)3
V = (3.14) ( 4.5 ) 3
Question 2
Determine the volume of the given sphere. (nearest tenth)
Responses
A 91.1 cubic units91.1 cubic units
B 286.1 cubic units286.1 cubic units
C 381.5 cubic units381.5 cubic units
D 401.6 cubic units401.6 cubic units
Which choice could you use to find the volume of the given sphere? (π = 3.14)
Responses
A V = 4(3.14)(4.5)3
V = 4(3.14) ( 4.5 ) 3
B V = 43
(3.14)(4.5)2
V = 4 3 (3.14) ( 4.5 ) 2
C V = 43
(3.14)(4.5)3
V = 4 3 (3.14) ( 4.5 ) 3
D V = (3.14)(4.5)3
V = (3.14) ( 4.5 ) 3
Question 2
Determine the volume of the given sphere. (nearest tenth)
Responses
A 91.1 cubic units91.1 cubic units
B 286.1 cubic units286.1 cubic units
C 381.5 cubic units381.5 cubic units
D 401.6 cubic units401.6 cubic units
The correct choice to find the volume of the given sphere is:
D V = (3.14)(4.5)3
To determine the volume of the sphere, we can use the formula V = (4/3)(π)(r^3), where r is the radius. Substituting the given radius of 4.5, we get:
V = (4/3)(3.14)(4.5)^3
Calculating this, we find:
V ≈ 286.1 cubic units
So the correct answer for the volume of the given sphere is:
B 286.1 cubic units
D V = (3.14)(4.5)3
To determine the volume of the sphere, we can use the formula V = (4/3)(π)(r^3), where r is the radius. Substituting the given radius of 4.5, we get:
V = (4/3)(3.14)(4.5)^3
Calculating this, we find:
V ≈ 286.1 cubic units
So the correct answer for the volume of the given sphere is:
B 286.1 cubic units
Height 5m radius 4m
What is the volume of the cone to the nearest cubic meter? (Use π = 3.14)
Responses
A 21 m3
21 m 3
B 84 m3
84 m 3
C 168 m3
168 m 3
D 335 m3
What is the volume of the cone to the nearest cubic meter? (Use π = 3.14)
Responses
A 21 m3
21 m 3
B 84 m3
84 m 3
C 168 m3
168 m 3
D 335 m3
The correct formula to find the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.
Substituting the given values of radius 4m and height 5m, we have:
V = (1/3)(3.14)(4^2)(5)
Calculating this, we find:
V ≈ 83.72 cubic meters
Rounding this to the nearest cubic meter, the volume of the cone is approximately:
B 84 m3
Substituting the given values of radius 4m and height 5m, we have:
V = (1/3)(3.14)(4^2)(5)
Calculating this, we find:
V ≈ 83.72 cubic meters
Rounding this to the nearest cubic meter, the volume of the cone is approximately:
B 84 m3
A gift box in the shape of a cylinder has a diameter of 8 inches and a height of 12 inches. Which measurement is closest to the total surface area of the gift box in square inches?
Responses
A 402.12 in.2402.12 in. 2
B 301.59 in.2301.59 in. 2
C 1,005.31 in.21,005.31 in. 2
D 603.19 in.2603.19 in. 2
Responses
A 402.12 in.2402.12 in. 2
B 301.59 in.2301.59 in. 2
C 1,005.31 in.21,005.31 in. 2
D 603.19 in.2603.19 in. 2
The total surface area of the gift box can be found by summing the areas of the top and bottom circles (2πr^2), and the lateral surface area (2πrh) of the cylinder.
Given that the diameter of the cylinder is 8 inches, the radius (r) would be half of that, which is 4 inches. The height (h) is given as 12 inches.
Calculating the surface area:
Area of top and bottom circles = 2πr^2 = 2*3.14*(4)^2
Lateral surface area = 2πrh = 2*3.14*4*12
Adding these areas together, we get:
Surface area = (2*3.14*(4)^2) + (2*3.14*4*12)
Surface area = 402.24 + 301.44
Surface area ≈ 703.68 square inches
Rounding this to the nearest whole number, the closest measurement to the total surface area of the gift box would be:
D 703.19 in.2
Given that the diameter of the cylinder is 8 inches, the radius (r) would be half of that, which is 4 inches. The height (h) is given as 12 inches.
Calculating the surface area:
Area of top and bottom circles = 2πr^2 = 2*3.14*(4)^2
Lateral surface area = 2πrh = 2*3.14*4*12
Adding these areas together, we get:
Surface area = (2*3.14*(4)^2) + (2*3.14*4*12)
Surface area = 402.24 + 301.44
Surface area ≈ 703.68 square inches
Rounding this to the nearest whole number, the closest measurement to the total surface area of the gift box would be:
D 703.19 in.2
3 answers