revolution

The mirror of a flashlight is a paraboloid of revolution as shown. The diameter d , the depth h of it are 18 cm and 6 cm. Find the distance of the light bulb from the vertex of the paraboloid mirror. => 13.5 cm or 6.75 cm or 18 cm or 3.375 cm..

What is the measure of the angle in radians resulting after 7 counter clockwise revolutions from the terminal side of the angle 4 5 π in standard position? => - 66 5 π radians or 39 5 π radians or - 31 5 π radians or 74 5 π radians..

Line segments AB ‾ and DC ‾ bisect each other at 90° as shown. What is the locus of the point A if AB ‾ makes a complete revolution with respect to E? => A straight line or A circle or An ellipse or A rectangle..

What is the measure of the resulting angle in radians after 3 1 2 clockwise revolutions from the terminal side of the angle 4 5 π in standard position? => 39 5 π radians or - 31 5 π radians or - 27 10 π radians or 43 10 π radians..

Find the surface area of revolution formed by revolving the curve x = 4 + 3cos t , y = 3sin t from 0 ≤ t ≤ 2 π about the y -axis. => (48 π 2 + 18 π ) square units or 0 or 24 π 2 square units or 24 π square units or 48 π 2 square units..

Find the volume of the solid of revolution formed by revolving the region bounded by f ( x ) = x 2 and the x -axis (0 ≤ x ≤ 2) about y -axis. [Use shell method.] => 4 π cubic units or 32 π cubic units or 8 π cubic units or 12 π cubic units or 16 π cubic units..

Find the surface area of revolution formed by revolving the curve given by parametric equations x = 3 t , y = 2 t - 1 from 2 ≤ t ≤ 5 around y -axis. => 63 π square units or 1 3 π square units or 63 1 3 π square units or 63 1 3 square units..

Find the surface area of revolution formed by revolving the curve x = 3cos t , y = 3sin t from 0 ≤ t ≤ π 3 about the x -axis. => 9 π square units or 18 π square units or 3 4 ( 3 3 - π ) square units or 9 3 π square units or 4.5 square units..

Find the volume of the solid of revolution formed by revolving the region bounded by f ( y ) = y and the y -axis (0 ≤ y ≤ 2) about x -axis. [Use shell method.] => 1 6 π 5 cubic units or 1 6 2 π 5 cubic units or 8 2 π 5 cubic units or 3 2 π 5 cubic units or 8 π 5 cubic..

Find the surface area of revolution formed by revolving the curve x = 2cos t , y = 2sin t from 0 ≤ t ≤ π 2 about the x -axis. => 8 π square units or 4 π square units or 8 square units or 4 square units..