hich equation can be used to find V, the volume of the cylinder in cubic centimeters? Diameter = 14
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
A) V = π(7)2
Which choice could you use to find the volume of the given sphere? (π = 3.14)
Radius = 4.5
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
C) V = 4/3 (3.14)(4.5)3
Determine the volume of the given sphere. (nearest tenth)
Radius = 4.5
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 units
To find the volume of the sphere, we can use the formula V = 4/3πr^3, where r is the radius.
Plugging in the given radius of 4.5, we get:
V = 4/3 * 3.14 * (4.5)^3
Calculating this, we get the volume to be approximately 381.5 cubic units.
Therefore, the correct response is C) 381.5 cubic units
What is the volume of the cone to the nearest cubic meter? (Use π = 3.14)
Height = 5
Radius = 4
Responses
A 21 m3
21 m 3
B 84 m3
84 m 3
C 168 m3
168 m 3
D 335 m3
To find the volume of a cone, we can use the formula V = (1/3)πr^2h, where r is the radius and h is the height.
Plugging in the given radius of 4 and height of 5, we get:
V = (1/3)(3.14)(4^2)(5)
Calculating this, we get the volume to be approximately 83.733 m^3.
Rounding this volume to the nearest cubic meter, we get 84 m^3.
Therefore, the correct response is B) 84 m^3.
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.2
To find the total surface area of the cylinder-shaped gift box, we need to calculate the area of the two circular bases and the lateral surface area.
The formula for the area of the circular base is A = πr^2, where r is the radius (which is half the diameter).
The formula for the lateral surface area is L = 2πrh, where r is the radius and h is the height.
Given that the diameter is 8 inches, the radius would be 8/2 = 4 inches.
Plugging in the values, we can calculate the areas:
Area of the circular base = π(4)^2 = 16π in^2
Lateral surface area = 2π(4)(12) = 96π in^2
Adding the areas together, we get:
Total surface area = 16π + 96π = 112π in^2
Since we are asked to give the answer to the nearest whole number of square inches, we can approximate π as 3.14.
Therefore, the total surface area of the gift box is approximately:
112π in^2 ≈ 112 * 3.14 in^2 ≈ 351.68 in^2
Rounded to the nearest whole number, the closest measurement to the total surface area of the gift box is 352 in^2.
Therefore, the correct response is D) 603.19 in^2.
In each case, determine if the sides form a right triangle. If they do, place in the Yes column. If they do not, place in the No column.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Yes No
9, 12, 14
6, 9, 12
5, 12, 13
3, 4, 5