- 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
The total surface area of a right circular cone of slant height 13 cm is 90π cm2. Calculate:
(i) its radius in cm
(ii) its volume in cm3 [Take π = 3.14]
A solid metal sphere is cut through its center into 2 equal parts. If the diameter of the sphere is`3 1/2` cm, find the total surface area of each part correct to two decimal places.
A solid cone of radius 5 cm and height 8 cm is melted and made into small spheres of radius 0.5cm. Find the number of sphere formed.
A solid, consisting of a right circular cone standing one a hemisphere, is placed upright in a right circular cylinder, full of water, and touches the bottom. Find the volume of water left in the cylinder, having given that the radius of the cylinder is 3 cm and its height is 6 cm; the radius of
the hemisphere is 2 cm and the height of cone is 4 cm. Give your answer to the nearest cubic centimeter.
Total volume of three identical cones is the same as that of a bigger cone whose height is 9 cm and diameter 40 cm. Find the radius of the base of each smaller cone, if height of each is 108 cm
The volume of a conical tent is 1232 m3 and the area of the base floor is 154 m2. Calculate the:
(i) radius of the floor.
(ii) height of the tent
(iii) length of the canvas required to cover this conical tent if its width is 2 m.
Find what length of canvas, 1.5 m in width, is required to make a conical tent 48 m in diameter and 7 m in height. Given that 10% of the canvas is used in folds and stitching’s. Also. Find the cost of the canvas at the rate of Rs. 24 per metre.