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A right circular cone is exactly fitted inside a cube in such a way that the edges of the base of the cone are touching the edges of one face of the cube and the vertex is on the opposite face of the cube. If the volume of the cube is 512 cubic cm. find the approximate volume of the cone?
- a)104 cubic cm
- b)124 cubic cm
- c)134 cubic cm
- d)144 cubic cm
Correct answer is option 'C'. Can you explain this answer?
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A right circular cone is exactly fitted inside a cube in such a way th...
when cone is completely fitted inside the cube, then diameter of cone = side of cube and height of cone = height of cube
so, volume = (1/3)*(22/7)*4*4*8 = 134 (approx)
so, volume = (1/3)*(22/7)*4*4*8 = 134 (approx)
Most Upvoted Answer
A right circular cone is exactly fitted inside a cube in such a way th...
To find the volume of the cone, we first need to determine the height and radius of the cone.
Let's assume the side length of the cube is "a". Since the volume of the cube is given as 512 cubic cm, we can calculate the side length using the formula:
a³ = 512
Taking the cube root of both sides, we find:
a = 8 cm
Now, let's consider the cone. The base of the cone is a circle that touches the edges of one face of the cube. Since the edges of the cube are all equal to "a", the diameter of the base of the cone is also equal to "a". Therefore, the radius of the base of the cone is equal to half the side length of the cube:
radius = a/2 = 8/2 = 4 cm
The height of the cone is the distance from the vertex (which is on the opposite face of the cube) to the center of the base. Since the vertex is on the opposite face, the height is equal to the side length of the cube:
height = a = 8 cm
Now we can calculate the volume of the cone using the formula:
Volume = (1/3) * π * radius² * height
Plugging in the values we found:
Volume = (1/3) * π * 4² * 8
= (1/3) * π * 16 * 8
= (1/3) * π * 128
≈ 134 cubic cm
Therefore, the approximate volume of the cone is 134 cubic cm, which corresponds to option (c).
Let's assume the side length of the cube is "a". Since the volume of the cube is given as 512 cubic cm, we can calculate the side length using the formula:
a³ = 512
Taking the cube root of both sides, we find:
a = 8 cm
Now, let's consider the cone. The base of the cone is a circle that touches the edges of one face of the cube. Since the edges of the cube are all equal to "a", the diameter of the base of the cone is also equal to "a". Therefore, the radius of the base of the cone is equal to half the side length of the cube:
radius = a/2 = 8/2 = 4 cm
The height of the cone is the distance from the vertex (which is on the opposite face of the cube) to the center of the base. Since the vertex is on the opposite face, the height is equal to the side length of the cube:
height = a = 8 cm
Now we can calculate the volume of the cone using the formula:
Volume = (1/3) * π * radius² * height
Plugging in the values we found:
Volume = (1/3) * π * 4² * 8
= (1/3) * π * 16 * 8
= (1/3) * π * 128
≈ 134 cubic cm
Therefore, the approximate volume of the cone is 134 cubic cm, which corresponds to option (c).
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A right circular cone is exactly fitted inside a cube in such a way th...
when cone is completely fitted inside the cube, then diameter of cone = side of cube and height of cone = height of cube
so, volume = (1/3)*(22/7)*4*4*8 = 134 (approx)
so, volume = (1/3)*(22/7)*4*4*8 = 134 (approx)
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A right circular cone is exactly fitted inside a cube in such a way that the edges of the base of the cone are touching the edges of one face of the cube and the vertex is on the opposite face of the cube. If the volume of the cube is 512 cubic cm. find the approximate volume of the cone?a)104 cubic cmb)124 cubic cmc)134 cubic cmd)144 cubic cmCorrect answer is option 'C'. Can you explain this answer?
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A right circular cone is exactly fitted inside a cube in such a way that the edges of the base of the cone are touching the edges of one face of the cube and the vertex is on the opposite face of the cube. If the volume of the cube is 512 cubic cm. find the approximate volume of the cone?a)104 cubic cmb)124 cubic cmc)134 cubic cmd)144 cubic cmCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A right circular cone is exactly fitted inside a cube in such a way that the edges of the base of the cone are touching the edges of one face of the cube and the vertex is on the opposite face of the cube. If the volume of the cube is 512 cubic cm. find the approximate volume of the cone?a)104 cubic cmb)124 cubic cmc)134 cubic cmd)144 cubic cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A right circular cone is exactly fitted inside a cube in such a way that the edges of the base of the cone are touching the edges of one face of the cube and the vertex is on the opposite face of the cube. If the volume of the cube is 512 cubic cm. find the approximate volume of the cone?a)104 cubic cmb)124 cubic cmc)134 cubic cmd)144 cubic cmCorrect answer is option 'C'. Can you explain this answer?.
A right circular cone is exactly fitted inside a cube in such a way that the edges of the base of the cone are touching the edges of one face of the cube and the vertex is on the opposite face of the cube. If the volume of the cube is 512 cubic cm. find the approximate volume of the cone?a)104 cubic cmb)124 cubic cmc)134 cubic cmd)144 cubic cmCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A right circular cone is exactly fitted inside a cube in such a way that the edges of the base of the cone are touching the edges of one face of the cube and the vertex is on the opposite face of the cube. If the volume of the cube is 512 cubic cm. find the approximate volume of the cone?a)104 cubic cmb)124 cubic cmc)134 cubic cmd)144 cubic cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A right circular cone is exactly fitted inside a cube in such a way that the edges of the base of the cone are touching the edges of one face of the cube and the vertex is on the opposite face of the cube. If the volume of the cube is 512 cubic cm. find the approximate volume of the cone?a)104 cubic cmb)124 cubic cmc)134 cubic cmd)144 cubic cmCorrect answer is option 'C'. Can you explain this answer?.
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