Mathematics
A solid cone of base radius 9 cm and height 10 cm is lowered into a cylindrical jar of radius 10 cm, which contains water sufficient to submerge the cone completely. Find the rise in water level in the jar.
Related Questions
An iron pillar has some part in the form of a right circular cylinder and the remaining in the form of a right circular cone. The radius of the base of each of cone and cylinder is 8 cm. The cylindrical part is 240 cm high and the conical part is 36 cm high. Find the weight of the pillar if one cu. cm of iron weighs 7.8 grams.
A circus tent is made of canvas and is in the form of right circular cylinder and a right circular cone above it. The diameter and height of cylindrical part of tent are 126 m and 5 m respectively. The total height of the tent is 21 m. Find the total cost of tent if canvas used costs ₹36 per square metre.
A cone and a cylinder are of the same height. If diameters of their bases are in the ratio 3 : 2, find the ratio of their volumes.
The radius and height of a right circular cone are in the ratio 5 : 12. If its volume is 2512 cm3, find its slant height. (Take π = 3.14)