Find the percentage change in the volume of cylinder.1. The diameter is increased by 20%.2. The height is increased by 21%.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. Can you explain this answer?

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Find the percentage change in the volume of cylinder.
1. The diameter is increased by 20%.
2. The height is increased by 21%.

a)
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
b)
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
c)
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question ask
d)
EACH statement ALONE is sufficient to answer the question asked.
e)
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Correct answer is option 'D'. Can you explain this answer?

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Find the percentage change in the volume of cylinder.1. The diameter i...

The volume of the cylinder is given buy v = πr²h.
In statement 1, diameter (d) is increased by 20%, hence the radius is increased by 10%. The new radius is given by 1.1r. The new volume = π(1.1r)²h = 1.21πr²h
Percentage change in volume = (1.21πr²h - πr²h )/pr²h × 100% = 21%. The statement is sufficient.
In statement 2, height is increased by 21%, hence the new height is 1.21h. The new volume = 1.21πr²h.
Percentage change in volume = (1.21πr²h - πr²h )/πr²h × 100% = 21%. The statement is sufficient. Therefore, EACH statement ALONE is sufficient.

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Find the percentage change in the volume of cylinder.1. The diameter i...

Solution:

To find the percentage change in volume of a cylinder, we need to know the formula for the volume of a cylinder.

Volume of Cylinder = πr²h
where r is the radius of the base of the cylinder and h is the height of the cylinder.

Statement 1: The diameter is increased by 20%.

When the diameter is increased by 20%, the radius (r) is also increased by 20%. Let the original radius be r and the new radius be r'. We can write,

r' = 1.2r

We can now calculate the new volume of the cylinder by substituting the new radius in the formula for volume.

New Volume = π(r')²h
= π(1.2r)²h
= 1.44πr²h

Therefore, the percentage change in volume is given by

% Change in Volume = (New Volume - Original Volume) / Original Volume * 100%
= (1.44πr²h - πr²h) / πr²h * 100%
= 44%

Hence, statement 1 alone is sufficient to answer the question.

Statement 2: The height is increased by 21%.

When the height is increased by 21%, we need to calculate the new volume of the cylinder using the formula for volume.

New Volume = πr²(h + 0.21h)
= πr²(1.21h)

Therefore, the percentage change in volume is given by

% Change in Volume = (New Volume - Original Volume) / Original Volume * 100%
= (πr²(1.21h) - πr²h) / πr²h * 100%
= 21%

Hence, statement 2 alone is sufficient to answer the question.

Both Statements Together:

When we combine both statements, we can calculate the new volume of the cylinder by using the formula for volume and substituting the new values of both the radius and height.

New Volume = π(r')²(h + 0.21h)
= π(1.2r)²(1.21h)
= 1.728πr²h

Therefore, the percentage change in volume is given by

% Change in Volume = (New Volume - Original Volume) / Original Volume * 100%
= (1.728πr²h - πr²h) / πr²h * 100%
= 72.8%

Hence, both statements together are sufficient to answer the question.

Therefore, the correct answer is option D, i.e., each statement alone is sufficient to answer the question.

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Find the percentage change in the volume of cylinder.1. The diameter is increased by 20%.2. The height is increased by 21%.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. Can you explain this answer?

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Find the percentage change in the volume of cylinder.1. The diameter is increased by 20%.2. The height is increased by 21%.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Find the percentage change in the volume of cylinder.1. The diameter is increased by 20%.2. The height is increased by 21%.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the percentage change in the volume of cylinder.1. The diameter is increased by 20%.2. The height is increased by 21%.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. Can you explain this answer?.

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