What is the height of a solid right circular cylinder whose radius is 3 cm and total surface area is 60 πcm² ?

Find the area of the triangle whose sides are 5 cm, 12 cm and 13 cm.

Directions: The pie– chart shows the proposed outlay for different sectors during a Five–Year plan of Government of India. Total outlay is Rs. 40,000 crores. By reading the pie–chart answer the following three questions.

What is the ratio between the proposed outlay of Irrigation and Communication?

A chord of length 16 cm is drawn in a circle of radius 10 cm. The distance of the chord from the centre of the circle is

The average of 11 numbers is 7. If each number is doubled, what will be the new average of the numbers?

△ABC is right-angle triangle at B and tan A = $$3\over 4$$, then sin A + sin B + sin C will be equal to:

Three men and 4 women can do a piece of work in 7 days, whereas 2 men and I woman can do it in 14 days. Seven women will complete the same work in:

In an alloy, zinc and copper are in the ratio 1 : 2. In the second alloy the same elements are in the ratio 2 : 3. In what ratio should these two alloys be mixed to form a new alloy in which the two elements are in ratio 5 : 8?