Mathematics - I (3110014) MCQs

MCQs of Applications of Definite Integrals

Showing 1 to 3 out of 3 Questions
1.

The volume of the solid generated by revolving the region between the Y-axis and the curve x=2y, 0  y 4, about the Y-axis.

(a)

2π

(b)

32π

(c)

16π

(d)

None of these

Answer:

Option (b)

2.

If curve y=fx is revolve about x - axis from x=a to x=b , then the area of surface of a solid is _____.

(a)

S=ab1+dydx2dx

(b)

S=2πabx1+x '212dy

(c)

S=ab1+dxdy2dy

(d)

S=2πaby1+y '212dx

Answer:

Option (d)

3.

The plane area bounded by curves y=a, y=b, x=f(y), x=g(y) is revolved about Y-axis to generate the solid. The volume of solid is _____.

(a)

V=πabx-x02dy

(b)

V=πaby-y02dx

(c)

V=πabR2-r2dy

(d)

V=πabR2-r2dx

Answer:

Option (c)

Showing 1 to 3 out of 3 Questions