Find the ratio of the volumes of a solid right circular cylinder and a solid right circular cone of equal radii and equal heights.

The radius of a right circular cylinder and a hemisphere is equal and their volumes are also equal. The height of the hemisphere is greater than the height of the cylinder by (a) 25% (b) 50% (c) 100% (d) 200%

If the height and base area of a solid hemisphere and a solid cylinder are same, then the ratio of their volume is (a) 1 : 3 (b) 1 : 2 (c) 2 : 3 (d) 3 : 4

The lower part of an ice-cream is conical and upper part is hemispheric with same circular base. If the height of the cone is 9cm and radius of the base 2.5 cm. Find the volume of the ice-cream.

State True/False: “The equal chords of a circle are at equal distances from the centre of the circle.”

Write a difference between the geometric angle and trigonometrical angle.

Find the value of angle in degree made by the tangent of a circle with the radius of that circle at the point of contact

Mode = 2 × Median – 3 × Mean.

If x be the volume, y be the area of the base and z be the height of a cone then the value of x / yz is 3.

ABCD is a cyclic quadrilateral. If ∠ADB = x° and ∠ABD = y° then ∠BCD is (x + y)°.

If the sum of the square of the roots of the equation 6x² + x + k = 0 is , then the value of k is 12.

x is the mean of (p + q) numbe ₹ If y be the mean of p numbers, then mean of remaining q numbers is ______.