Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and--
A spherical ball of given radius x cm is melted and made into a right circular cylinder. What is the height of the cylinder.
I. The volume of the cylinder is equal to the volume of the ball.
II. THe area of the base of the cylinder is given.
I : This statement is redundant as we already know that their volume is same. We cannot find radius and height separately.
Thus, I alone is not sufficient.
II : Since, Volume of cylinder = Volume of spherical ball.
$$\pi$$ * $$r^{2}$$ * h = $$\frac{4}{3}$$ * $$\pi$$ * $$x^{3}$$
Since, we know the value of $$\pi$$ * $$r^{2}$$. Let it be k (constant)
h = $$\frac{4}{3*k}$$ * $$\pi$$ * $$x^{3}$$ [ where x & k are known]
Thus, II alone is sufficient.
Create a FREE account and get:
Detailed syllabus & Topic-wise Weightage
By proceeding you agree to create your account
Free CAT Syllabus PDF will be sent to your email address soon !!!
