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
Diameter= 14cm
Height= Unknown
The correct equation to find the volume of the cylinder in cubic centimeters is option D: V = π(14h)².
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
Radis= 4.5
The correct equation to find the volume of the sphere is option D: V = (3.14)(4.5)³.
Determine the volume of the given sphere. (nearest tenth)
Responses
A 91.1 cubic units
B 286.1 cubic units
C 381.5 cubic units
D 401.6 cubic units
Raids= 4.5
To find the volume of the sphere, we can use the formula V = (4/3)πr³, where r is the radius of the sphere.
Plugging in the given radius, r = 4.5, into the formula, we get:
V = (4/3)(3.14)(4.5)³ = 286.1215
Rounding to the nearest tenth, the volume of the given sphere is approximately 286.1 cubic units.
Therefore, the correct response is B: 286.1 cubic units.
What is the volume of the cone to the nearest cubic meter? (Use π = 3.14)
Responses
A 21 m3
B 84 m3
C 168 m3
D 335 m3
Height= 5m
Raids= 4m
To find the volume of a cone, we use the formula V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.
Plugging in the given values, r = 4m and h = 5m, into the formula, we get:
V = (1/3)(3.14)(4)²(5) = (1/3)(3.14)(16)(5) = 83.7333
Rounding to the nearest cubic meter, the volume of the cone is approximately 84 m³.
Therefore, the correct response is 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.2
B 301.59 in.2
C 1,005.31 in.2
D 603.19 in.2
To find the total surface area of the gift box in square inches, we need to calculate the area of the top and bottom circular bases, as well as the area of the lateral surface (the curved part).
The formula for the area of a circular base is A = πr², where r is the radius of the base.
Given the diameter of 8 inches, the radius is half of that, so the radius is 4 inches.
The area of each circular base is A = π(4)² = 16π square inches.
The formula for the lateral surface area of a cylinder is A = 2πrh, where r is the radius and h is the height.
Plugging in the given values, r = 4 inches and h = 12 inches, we get: A = 2π(4)(12) = 96π square inches.
Adding the areas of the bases and the lateral surface, we get: Total surface area = 16π + 16π + 96π = 128π square inches.
To find the approximate value of the surface area, we can use a close approximation for π, such as 3.14.
So, the approximate total surface area of the gift box is 128(3.14) square inches, which is approximately 402.12 square inches.
Therefore, the correct response is A: 402.12 in².
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.
(9, 12, 14)
(6, 9, 12)
(5, 12, 13)
(3, 4, 5)