Question
A right circular cone is surmounted by a hemisphere. The base radius of the cone is equal to the radius of the hemisphere. The diameter of the hemisphere is 12 cm while the height of the cone is 8
A right circular cone is surmounted by a hemisphere. The base radius of the cone is equal to the radius of the hemisphere. The diameter of the hemisphere is 12 cm while the height of the cone is 8
cm. Find the cost of painting the compound object if it costs ₹50 to paint a cm².
Radius = 12 / 2 = 6 cm Since the right circular cone is surmounted on a hemisphere, the area of the base. = 2 π ×62 = 72 π cm² Slant Height = √62 +√82 = 10 cm Hence, the total surface area of the cone is surmounted on the hemisphere. The curved surface area of the cone + the area of the base=π× 6 × 10 + 72π=132π Thus, the cost of painting the compound object = (50 × 132π) / π = 6600 The cost of painting the compound object is ₹6600.More Mensuration Questions
- In a right angles trainagle, one acute angle is double the other. If the length of its hypotenuse is 20 cm, the find its area?
- The length of a rectangle is 4 cm more than the side of a square and the breadth of the rectangle is 4 cm less than the side of the square. If the area of ...
- Curved surface area of cylinder is 1617 cm2. If ratio of radius to height of the cylinder is 25:21 respectively, then find the base area of the cylinder.
- The volume of a cube is 343 cm³. If the cost of painting the cube is Rs. 9 per cm², then find the cost of painting five faces of the cube.
- The diameter of the base of a cylindrical drum is 28 cm and its height is 15 cm. The drum is full of water and the water from the drum is transferred to ‘n...
- A circular wire of radius 28 cm is bent into the shape of a square. Find the difference between the area of the circle and the area of the square formed.
- A hemispherical bowl with an internal radius of 18 cm is full of liquid. This liquid will be filled in cylindrical bottles each radius of 3 cm and height 6...
- A solid cube, whose edge is of length 60 cm, is melted. Identical solid cubes, each of volume 216 cm3, are made of this molten cube, without any wastage. H...
- Calculate the total number of tiles needed to completely cover a rectangular floor that measures 132 meters by 125 meters. Each tile has dimensions of 250 ...
- In a rectangular floor of length and breadth of 20 metres and 8 metres, respectively, square tiles each of 4 metre edge length are to be laid. If the cost ...
Relevant for Exams:
Hey! Ask a query
Please enter email id
The email must be a valid email address.
Please enter Mobile Number
Please enter valid Mobile Number
Please enter your Doubt
Think You're Ready for RBI Grade B?
RBI Grade B 2026 Phase 1 Memory Based Paper
- 200 Questions with Detailed Solutions
- Section-wise Coverage (GA, English, Quant & Reasoning)