The height of sand in a cylindrical-shaped can drops 3 inches when 1 cubic foot of sand is poured out. What is the diameter, in inches, of the cylinder? (a) `(24)/(sqrt(pi))\ ` (b) `(48)/(sqrt(pi))` (c) `(32)/(sqrt(pi))` (d) `(24)/pi`

The height of sand in a cylinder-shaped can drops 3 inches foot of sand is poured out. What is the diameter, in inches of the cylinder?

The value of the definite integral int_0^(pi/2)sqrt(tanx)dx is sqrt(2)pi (b) pi/(sqrt(2)) 2sqrt(2)pi (d) pi/(2sqrt(2))

A right circular cone has a volume of 24pi cubic inches. If the height of the cone is 2 inches, what is the radius, in inches, of the base of the cone?

The area of a square is equal to the area of a circle. The ratio between the side of the square and the radius of the circle is (a) sqrt(pi):1 (b) 1:sqrt(pi) (c) 1:pi (d) pi:1

If slant height of a right circular cone is 3 cm then the maximum volume of cone is (a) 2sqrt(3) pi cm^(3) (b) 4sqrt(3) pi cm^(3) (c) (2+sqrt(3)) pi cm^(3) (d) (2-sqrt(3)) pi cm^(3)

The solution for x of the equation int_(sqrt(2))^x(dt)/(tsqrt(t^2-1))=pi/2 is pi (b) (sqrt(3))/2 (c) 2sqrt(2) (d) none of these

The ratio of the areas of a circle and an equilateral triangle whose diameter and a side are respectively equal, is (a) pi\ :sqrt(2) (b) pi\ :sqrt(3) (c) sqrt(3)\ :pi (d) sqrt(2)\ :pi

If the area of a square is same as the area of the circle, then the ratio of their perimeters, in terms of pi , is (a) pi\ :sqrt(3) (b) 2\ :sqrt(pi) (c) 3\ :pi (d) pi\ :sqrt(2)

A pair of tangents is drawn to a unit circle with center at the origin and these tangents intersect at A enclosing an angle of 60^0 . The area enclosed by these tangents and the arc of the circle is (a) 2/(sqrt(3))-pi/6 (b) sqrt(3)-pi/3 (c) pi/3-(sqrt(3))/6 (d) sqrt(3)(1-pi/6)

The volume of a cylinder of radius r is 1/4 of the volume of a rectangular box with a square base of side length xdot If the cylinder and the box have equal heights, what is r in terms of x ? (a) (x^2)/(2pi) (b) x/(2sqrt(pi)) (c) (sqrt(2x))/pi (d) pi/(2sqrt(x))