Bissoy.com
Doctors Medicines MCQs Q&A

A parabola x = y2 with 0 ≤ x ≤ 1 is shown in the figure. The volume of the solid of rotation obtained by rotating the shaded area by 360° around the x-axis is
Calculus mcq question image

A parabola x = y2 with 0 ≤ x ≤ 1 is shown in the figure. The volume of the solid of rotation obtained by rotating the shaded area by 360° around the x-axis is
Calculus mcq question image Correct Answer $$\frac{\pi }{2}$$

Related Questions

“What is the different between height and radius of solid cylinder?” Which of the following option is sufficient alone to find the answer? A) A solid cylinder is made by melting a solid sphere. The radius of cylinder is 3 times the radius of a circle whose area is 154 sq.m. Height of cylinder is equal to the height of cone whose volume is 2772 cubic meters. B) Area of a rectangle whose longer side is ¾ times the radius of a solid cylinder, is 168 sq.m and, Volume of solid cylinder is 2772 cubic meters and its height is 18 m. C) A metallic cone of radius 15m and height 35m is melted into the solid cylinder of radius equal to the radius of a circle whose area is equal to the area of rectangle whose sides are in the ratio 4 : 3 respectively. D) The curved surface area of the solid cylinder is 3 time the surface area of a sphere of radius 7m and height of cylinder is equal to the height of a metallic cone whose curved surface area is 308 sq.m. 
A circle is circumscribed around a square as shown in the figure. The area of one of the four shaded portions is equal to $$\frac{4}{7}$$. The radius of the circle is :
Area mcq question image
Consider the shaded triangular region P shown in the figure. What is If $$\iint\limits_{\text{P}} {{\text{xydxdy}}\,?}$$
Calculus mcq question image
Consider a given volume of liquid at a temperature T below Tm with a free energy G’. If some of the atoms of the liquid cluster together to form a small sphere of solid, the free energy of the system will change to G, given by________ (Assume V1 volume of the solid sphere, V2 volume of liquid, A is the solid/liquid interfacial area, γ solid/liquid interface free energy, G1 and G2 are the free energies per unit volume of solid and liquid respectively).
The C.G. of the shaded area of the below figure whose curve OM is a parabola from y-axis, is
Applied Mechanics and Graphic Statics mcq question image
Steps are given to find the axis of a parabola. Arrange the steps. i. Draw a perpendicular GH to EF which cuts parabola. ii. Draw AB and CD parallel chords to given parabola at some distance apart from each other. iii. The perpendicular bisector of GH gives axis of that parabola. iv. Draw a line EF joining the midpoints lo AB and CD.
The figure of a solid marked 'X' is given below followed by four alternatives 1, 2, 3 and 4. If the solid is viewed in the direction of the arrow, which one of the four alternatives will represent the true view?
Figure Formation and Analysis mcq question image
The area of the shaded region in the adjoining figure is
Area mcq question image
Two dielectric materials A and B exhibit both ionic and orientational polarizabilities. The variation of their susceptibilities $$\chi \left( { = {\varepsilon _r} - 1} \right)$$   with temperature T is shown in the figure, where $${\varepsilon _r}$$ is the relative dielectric constant. It can be inferred from the figure that
Solid State Physics mcq question image
Which one of the following four addresses is NOT EXACTLY same as the one given below? Cabramatta 360 Elizabeth Drive, 2170 Mount Pritchard, Australia (i) Cabramatta 360 Elizabeth Drive, 2170 Mount Pritchard, Australia (ii) Cabramatta 360 Elizabeth Drive, 2170 Mount Pritchard, Australia (iii) Cabrematta 360 Elizabeth Drive, 2170 Mount Pritchard, Australia (iv) Cabramatta 360 Elizabeth Drive, 2170 Mount Pritchard, Australia