48. If the volume and surface area of a sphere are numerically the same, then its radius is :1). 1 unit2). 2 units3). 3 units4). 4 units
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1. The cross section of a canal is a trapezium in shape. If the canal is 26 meters wide at the top and 40 meters at the bottom and the area of the canal is 264 m2. Find the height of the canal.
2. Find the area of the square, if it’s inscribed in a circle whose radius is 3 m.
3. At each comer of a triangular field of sides 26 m, 28 m and 30 m, a cow is tethered by a rope length 7 m . The area (in sq.m.). ungrazed by the cows is
4. If the area of a rectangle is 2 times the perimeter of the square with side 5m and length of the rectangle is 8 m. then what will be the breadth of the rectangle?
5. The base of a right circular cone has the same radius a as that of a sphere. Both the sphere and the cone have the same volume. Height of the cone is
6. A circular swimming pool is surrounded by a concrete wall 4m wide. If the area of the circular concrete wall surrounding the pool is 11/25 that of the pool, then the radius (in m) of the pool∶
7. $\triangle$ DEF and $\triangle$ GHI are similar triangles. Length of DE is 4 cm and length of the corresponding side GH is 9 cm. What is the ratio of areas of $\triangle$ DEF and $\triangle$GHI?
8. The perimeter of a semicircular path is 36 m. Find the area of this semicircular path
9. The measure of each of two opposite angles of a rhombus to $60^{0}$ and the measure of one of its sides to 10cm. The length of its smaller diagonal is
10. Volume of a cylinder is 770 cubic cm. If circumference of its base is 22 cm, what will be the curved surface area of the cylinder? (Take π = $\frac{22}{7}$)
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