A sphere is placed inside a right circular cylinder so as to touch the top, base and the lateral surface of the cylinder. If the radius of the sphere is R, the volume of the cylinder is

a)
b)
c)
d)

Correct Answer Is :

Solution Is : Height of cylinder = 2 R units Radius of base = R units Volume of cylinder = π R² h => π(R²) (2R) = 2 π R?3

Correct Answer Is : 30°

Solution Is :

Correct Answer Is : None of these

Solution Is :

Two circles with radii 25 cm and 9 cm touch each other externally. The length of the direct common tangent is

Correct Answer Is : 30 cm

Solution Is :

If AB = 5 cm, AC = 12 cm and AB ?⊥ AC, then the radius of the circumcircle of Δ ABC is

Correct Answer Is : 6 cm

Solution Is :

Correct Answer Is : π/3 radian

Solution Is :

The simplest value of

Correct Answer Is : -1

Solution Is :

A kite is flying at a height of 50 metre. If the length of string is 100 metre then the inclination of string to the horizontal ground in degree measure is

Correct Answer Is : 30

Solution Is :

From the top of a light-house at a height 20 metres above sea-level, the angle of depression of a ship is 30°. The distance of the ship from the foot of the light house is

Correct Answer Is : 20√3 m

Solution Is :

If x = a sin θ and y = b tan θ then a²/x² - b²/y²

Correct Answer Is : 1

Solution Is : X = a sec θ => x/a = sec θ Again, y = b tan θ => y/b = tan θ x²/a² - y²/b² =sec²θ - tan² θ =1