A goat is tied with a 10.5 m-long rope to one corner of a plot which is in the shape of an equilateral triangle each side of which is 16 m long. Find the area that the goat can graze on.

The ratio of the volume of two right circular cylinder is 2 : 3. And the ratio of their radius is 1 : 2. Find the ratio of their heights?

Base of the right prism is an equilateral triangle. If its height reduced to one-fourth and each side of the base is tripled, then the ratio of the volumes of the old prism to the new prism is-

Three circles of radius 3.5 cm each are placed in such a way that each touches the other two. The area of the portion enclosed by the circles is 

One of the four angles of a rhombus is 60°. If the length of each side of the rhombus is 8 cm, then the length of the longer diagonal is 

Balls of marbles of diameter 1.4 cm are dropped into a cylindrical beaker containing some water and fully submerged. The diameter of the beaker is 7 cm. Find how many marbles have been dropped in it if the water rises by 5.6 cm?

The length, breadth and height of a room are in the ratio 3 : 2 : 1 if the volume of the room is 1296 metre3. Then find the breadth of the room?

The largest and the second largest angle of a triangle are in the ratio of 13:12 respectively. The smallest angle is 20% of the sum of the largest and the second largest angles. What is the sum of the smallest and the second largest angles?