A circle is inscribed in a square. If the length of the diagonal of the square is 14√2 cm, what is the area (in sq cm) of the circle?1). 3082). 4623). 1544). 616
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1. A solid cylinder has total surface area of 462 sq.cm. Its curved surface area is $\frac{1}{3}$ rd of the total surface area.Then the radius of the cylinder is
2. A surface area of a sphere has three times the surface area of a cube. Then, the ratio of the volume of sphere to that of the cube is
3. The length of a rectangle is increased by 25%. To maintain the same area, the breadth has to be decreased by
4. If the lengths of the two parallel sides of a trapezium are 8 cm and 10 cm and its area is 54 cm². Find the distance between its parallel sides (in cm).
5. The diagonal of a square is 12 cm what is the length (in cm) of its side?
6. The diameter of a circle is equal to the side of the square. What is the area of the square if the area of the circle is 64π sq cm?
7. In triangle ABC, AD, BE and CF are the medians intersecting at point G and area of triangle ABC is 156 sq.cm. What is the area (in sq.cm) of triangle FGE?
8. If the length of longest diagonal of a cube is 6 √3 cm. Find its surface area?
9. .The height of a right circular cylinder is twice its radius of the base. If its height be 6 times its radius of the base, then the volume of the cylinder will be 539 cm3 more. Assuming Π = 22/7, the height of the cylinder is
10. A cylindrical vessel of height 5 cm and radius 4 cm is completely filled with sand. When this sand is poured out it forms a right circular cone of radius 6 cm. What will be the height of this cone? (Take π = $\frac{22}{7}$)
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