A teak wood log is cut first in the form of a cuboid of length 2.3 m, width 0.75 m and of a certain thickness. Its volume is 1.104 m³. How many rectangular planks of size 2.3 m x 0.75 m x 0.04 m can be cut from the cuboid?

A rectangular reservoir is 120 m long and 75 m wide. At what speed per hour must water flow into it through a square pipe of 20 cm wide so that the water rises by 2.4 m in 18 hours?

The radii of the circular ends of a bucket of height 15 cm are 14 cm and r cm (r < 14 cm). If the volume of bucket is 5390 cm³, then find the value of r Use \(\pi=\frac{22}{7}\)

An open metal bucket is in the shape of a frustum of a cone of height 21 cm with radii of its lower and upper ends as 10 cm and 20 cm respectively. Find the cost of milk which can completely fill the bucket at Rs.30 per litre. [ \(\pi=\frac{22}{7}\)]

Water flows in a tank 150 m x 100 m at the base through a pipe whose cross-section is 2 dm by 1.5 dm at the speed of 15 km/h. In what time will the water be 3 m deep?

The size of the base of a cane full of kerosene is 20 cm x 20 cm and its height is 45 cm. The kerosene of this cane is poured into another cane having base of size 25 cm x 15 cm and height 50 cm. Determine the height of the kerosene in the second cane.

Water in a canal, 6 m wide and 1.5 m deep, is flowing at a speed of 4 km/h. How much area will it irrigate in 10 minutes, if 8 cm of standing water is needed for irrigation?

A solid wooden toy is in the form of a hemisphere surmounted by a cone of same radius. The radius of hemisphere is 3.5 cm and the total wood used in the making of toy is 166\(\frac{5}{6}\) cm³. Find the height of the toy. also, find the cost of painting the hemispherical part of the toy at the rate of Rs.10 per cm².[Use \(\pi=\frac{22}{7}\)]

In the give figure from the top of a solid cone of a height 12 cm and base radius 6 cm, a cone of height 4 cm is removed by a plane parallel to the base. Find the total surface area of the remaining solid.(Use \(\pi=\frac{22}{7}\)and \(\sqrt{5}\) = 2.236)

A right circular cone of radius 3 cm, has a curved surface area of 47.1 cm² . Find the volume of the cone. \(\left[ Use\quad \pi =3.14 \right] \)

From a solid cylinder of height 7 cm and base diameter 12 cm, a conical cavity of same height and same base diameter is hollowed out. Find the total surface area of the remaining solid. \(\left[ Use\ \pi =\frac { 22 }{ 7 } \right] \)

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 the cone and the cylinder is 8 cm. The cylindrical part is 240 cm high and conical part is 36 cm high. Find the weight of the pillar if 1 cu. cm of iron weights 7.5 grams.

A storage oil tanker consists of a cylindrical portion 7 m in diameter with two hemispherical ends of the same diameter. The oil tanker lying horizontally. If the total length of the tanker is 20 m, then find the capacity of the container.

Water running in a cylindrical pipe of inner diameter 7 cm, is collected in a container at the rate of 192.5 litres per minute. Find the rate of flow of water in the pipe in km/h. \(\left[ Use\quad \pi =\frac { 22 }{ 7 } \right] \) 

A cylindrical pipe has inner diameter of 4 cm and water flows through it at the rate of 20 m per minute. How long would it take to fill a conical tank, with diameter of base as 80 cm and depth 72 cm ?