- Area (total surface and curved surface) and Volume
- Direct application problems including cost, Inner and Outer volume and melting and recasting method to find the volume or surface area of a new solid
- Frustum is not included.
- Areas of sectors of circles other than quartercircle and semicircle are not included
A hemispherical and a conical hole is scooped out of a.solid wooden cylinder. Find the volume of the remaining solid where the measurements are as follows:
The height of the solid cylinder is 7 cm, radius of each of hemisphere, cone and cylinder is 3 cm. Height of cone is 3 cm.
Give your answer correct to the nearest whole number.Taken`pi = 22/7`.
The model of a building is constructed with the scale factor 1 : 30.
(i) If the height of the model is 80 cm, find the actual height of the building in meters.
(ii) If the actual volume of a tank at the top of the building is 27m3, find the volume of the tank on the top of the model.
The diameter of a sphere is 6 cm, It is melted and drawn into a wire of diameter 0.2 cm. Find the length of the wire.
The cross-section of a tunnel is a square of side 7m surmounted by a semi circle as shown in the adjoining figure. The tunnel is 80 m long.
(1) its volume
(2) the surface area of the tunnel (excluding the floor) and
(3) its floor area.
Determine the ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube.
A largest sphere is to be carved out of a right circular cylinder of radius 7 cm and height 14 cm. Find the volume of the sphere.
A solid rectangular block of metal 49 cm by 44 cm by 18 cm is melted and formed into a solid sphere. Calculate the radius of the sphere.