problem archive
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A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 2.1 m and 4 m respectively, a... -
From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and same diameter is hollowed out. Find the tota... -
A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 2 cm and the diameter of the base is 4 cm. D... -
A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius... -
Rachel, an engineering student, was asked to make a model shaped like a cylinder with two cones attached at its two ends by using a thin aluminium she... -
A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the b... -
A solid iron pole consists of a cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius ... -
A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right ci... -
A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter; the diameter of the spherical part is 8.5 cm. By measuring the amount of ... -
The marks obtained by 30 students of Class X of a certain school in a Mathematics paper consisting of 100 marks are presented in table below. Find the... -
A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding... -
Consider the following distribution of daily wages of 50 workers of a factory. \( \begin{array}{|c|c|} \hline \text{Daily wages (in ₹)} & \text{Number... -
The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is Rs 18. Find the missing frequency ... -
Thirty women were examined in a hospital by a doctor and the number of heartbeats per minute were recorded and summarised as follows. Find the mean he... -
In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the d... -
The table below shows the daily expenditure on food of 25 households in a locality. \(\begin{array}{|c|c|c|c|c|c|}\hline \text{Daily expenditure (in ... -
To find out the concentration of \(\text{SO}_2\) in the air (in parts per million, i.e., ppm), the data was collected for 30 localities in a certain c... -
A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent.\beg... -
The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate.\begin{array}{|c|c|c|c|c|c|} \hline \text{Litera... -
A survey conducted on 20 households in a locality by a group of students resulted in the following frequency table for the number of family members in...