Mensuration Questions
Study the volume and surface-area formulas for hemispheres and cylinders. Practise questions involving dimensions, equal volumes, and converting one solid into another to strengthen your mensuration skills.
7 questions
- The length and breadth of a rectangle are in the ratio 14:11, respectively, and the perimeter of the rectangle is 150 cm. If the area of the rectangle is equal…
- A hemispherical tank has an inner radius of 3 m. It is filled with water at a rate of 1800π liters per minute. How long will it take to fill…
- A solid metal sphere with a radius of 12 cm is melted and transformed into multiple smaller spheres, each with a radius of 2 cm. How many smaller spheres can…
- The numerical value of the volume of a hemisphere is equal to the numerical value of its total surface area. What is the radius of this hemisphere in units?
- A solid right circular cylinder is melted down and recast into a right circular cone with the same base radius. If the cylinder's height is h, what is the height…
- A solid hemispherical block is melted and recast into a cylinder of the same radius. The height of the cylinder is what fraction of the radius of the hemisphere?
- A 3 cm-radius solid metal sphere is melted and reshaped into smaller spheres, each with a 1 cm radius. From the original sphere, how many smaller spheres can be created?