Question

COMPREHENSION-TYPE QUESTIONS

A tower has the following shape: a truncated right circular cone (one with radii 2R (the lower base) and R (the upper base)), and the height R bears a right circular cylinder whose radius is R, the height being 2R. Finally a semisphere of radius R is mounted on the cylinder. Suppose that the
cross-sectional area S of the tower is given by f(x), where
x is the distance of the cross-section from the lower base of the cone.

Q1) The domain of the function f(x) is
(a) [0, 4R]
(b) [R, 4R]

Q2) For 0<= x <= R, the function f(x) is given by
(a) π(2R-x)²
(b) π(R-x)²

Q3) The range of f(x) is
(a) [0 , 4πR²]
(b) (0, R]

Q4) The function f(x) is
(a) one-one on (R, 2R]
(b) one-one on [R, 3R]
(c) one-one on [0, 4R)
(d) one-one on [0, R] U [3R, 4R]​

Answer 1

Answer:

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