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.

The shape of a pencil with one end sharpened is the combination of a and a _____.

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

Find the ratio of length of radius and perimeter of a circle

If the roots of a quadratic equation ax² + bx + c = 0 (a ≠ 0) are reciprocal and opposite in sign. Find (a + c)

If 0° < θ < 90° then sin θ < sin²θ

In a joint business one of the two friends invests ₹ xyz for y months and the other ₹ y²z for x months. At the end of the agreements, the profit would be distributed in the ratio x : y.

If x(4 - √3) = y(4 + √3) = 1, then the value of x² + y² = ______

27, 31, 46, 52, x, y + 2, 71, 79, 85, 90 are in increasing order. If the median is 64, then the value of x + y is (a) 125 (b) 127 (c) 128 (d) 126

If a:2 = b:5 then how many % of b is a (a) 20 (b) 30 (c) 40 (d) 50

Find x, if sin x = cos (x – 20°)