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A cylindrical layer cake has two vanilla layers surrounding a marzipan layer, represented by the shaded region, as shown below. Is the cake split into three layers of equal volume?
(1) The height of marzipan layer is equal to the radius of the whole cake.
(2) The volume of the entire cake is 81π cubic inches.
  • a)
    Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient.
  • b)
    Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.
  • c)
    BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
  • d)
    EACH statement ALONE is sufficient.
  • e)
    Statements (1) and (2) TOGETHER are not sufficient.
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
A cylindrical layer cake has two vanilla layers surrounding a marzipan...
The correct answer is: E)
Note that the volume for a cylinder can be found from the formula πr2 × height where r = radius and the height is perpendicular to the radius.
(1) That the height for the marzipan layer is equal to the radius of the cake means that the volume of the marzipan layer can be found from the simplified formula πr3, but the total cake volume remains dependent on the actual height of the cake; NOT sufficient.
(2) Represent the information algebraically as πr2 × height = 81, but no information is provided about the height in relation to the radius; NOT sufficient.
(Together) The information together still does not relate the height to the radius.
For instance the radius could be 3 and the ratio of the marzipan layer to the others could be equal as each would have a volume of 27π.
Alternatively, the radius could = 1 and the marzipan layer would be significantly smaller than the other two layers.
The correct answer is E; both statements together are still not sufficient.
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Community Answer
A cylindrical layer cake has two vanilla layers surrounding a marzipan...
The correct answer is: E)
Note that the volume for a cylinder can be found from the formula πr2 × height where r = radius and the height is perpendicular to the radius.
(1) That the height for the marzipan layer is equal to the radius of the cake means that the volume of the marzipan layer can be found from the simplified formula πr3, but the total cake volume remains dependent on the actual height of the cake; NOT sufficient.
(2) Represent the information algebraically as πr2 × height = 81, but no information is provided about the height in relation to the radius; NOT sufficient.
(Together) The information together still does not relate the height to the radius.
For instance the radius could be 3 and the ratio of the marzipan layer to the others could be equal as each would have a volume of 27π.
Alternatively, the radius could = 1 and the marzipan layer would be significantly smaller than the other two layers.
The correct answer is E; both statements together are still not sufficient.
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A cylindrical layer cake has two vanilla layers surrounding a marzipan layer, represented by the shaded region, as shown below. Is the cake split into three layers of equal volume?(1) The height of marzipan layer is equal to the radius of the whole cake.(2) The volume of the entire cake is 81π cubic inches.a)Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are not sufficient.Correct answer is option 'E'. Can you explain this answer?
Question Description
A cylindrical layer cake has two vanilla layers surrounding a marzipan layer, represented by the shaded region, as shown below. Is the cake split into three layers of equal volume?(1) The height of marzipan layer is equal to the radius of the whole cake.(2) The volume of the entire cake is 81π cubic inches.a)Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are not sufficient.Correct answer is option 'E'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A cylindrical layer cake has two vanilla layers surrounding a marzipan layer, represented by the shaded region, as shown below. Is the cake split into three layers of equal volume?(1) The height of marzipan layer is equal to the radius of the whole cake.(2) The volume of the entire cake is 81π cubic inches.a)Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are not sufficient.Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylindrical layer cake has two vanilla layers surrounding a marzipan layer, represented by the shaded region, as shown below. Is the cake split into three layers of equal volume?(1) The height of marzipan layer is equal to the radius of the whole cake.(2) The volume of the entire cake is 81π cubic inches.a)Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient.b)Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are not sufficient.Correct answer is option 'E'. Can you explain this answer?.
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