Q1 · hard · AI-verified
A wire is bent to form a square of side 44 cm. If the same wire is bent to form a circle, what will be the area of the circle? (Use π = 22/7)
- 6160 cm²
- 1936 cm²
- 2464 cm²
- 3080 cm²
Q2 · hard · AI-verified
In a triangle ABC, AB = 13 cm, BC = 14 cm and CA = 15 cm. What is the area of the triangle?
- 84 cm²
- 91 cm²
- 78 cm²
- 96 cm²
Q3 · hard · AI-verified
A wire bent into the shape of a square encloses an area of 121 cm². If the same wire is bent into a circle, by how much does the area increase? (Use π = 22/7)
- 22 cm²
- 33 cm²
- 44 cm²
- 28 cm²
Q4 · hard · AI-verified
A solid metallic sphere of radius 6 cm is melted and recast into small spherical balls each of radius 0.3 cm. How many such balls can be made?
- 6000
- 10000
- 8000
- 4000
Q5 · hard · AI-verified
The radius of the base of a right circular cone and the radius of a sphere are each equal to r. If the volume of the sphere equals twice the volume of the cone, what is the height of the cone?
- 4r/3
- 4r
- 2r
- 8r/3