Q. 1. Find the volume of the metal used in making the solid as shown in figure. Also find its total surface area. Its given that diameter of cylinder is 20 cm and diameter of each of two equal conical cavity is 10 cm.
Q. 2. Three circles of radius of radius 2 cm touch one another externally. These circles are circumscribed by a circle of radius R cm. Find the value of R and the area of the shaded region in terms of p and
.
Q. 3. Two circles touch internally, the sum of their areas is 116 p sq. cm and distance between their centres is 6 cm. Find the radii of the circles and area of shaded region.
Q. 4. In the adjoining figure, two circular flower beds have been shown on two sides of a square lawn ABCD of side 56 m. If the centre of each circular flower bed is the point of intersection of the diagonals of the square lawn, find the sum of the areas of the lawns and the flower beds.
Q. 5. On a circular table cover of radius 32 cm, a design is formed leaving an equilateral triangle ABC in the middle. Find the area of shaded region.
Q. 6. In the adjoining figure, ABC is a quadrant of a circle of radius 14 cm and a semicircle is drawn with BC as diameter. Find the area of the shaded region.
