Question 1 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e8f59b460d7261f4f7.JPG' />
From above the image Consider the frequency distribution table which gives the weights of 38 students of a class. Find the probability that the weight of a student in the class lies in the interval 46-50 kg.
Question 2 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f1f59b460d7261f504.JPG' />
From the above image the data is recorded of 1500 families with 2 children that were selected randomly. Compute the probability of a family, chosen at random, having 1 girl.
Question 3 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f8f59b460d7261f50e.JPG' />
Refer to the above image. An organisation selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is in the above image. Suppose a family is chosen. Find the probability that the family chosen is earning Rs 13000 – 16000 per month and owning more than 2 vehicles.
Question 4 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f7f59b460d7261f50c.JPG' />
From the above image, find the probability that a student obtained less than 20% in the mathematics test.
Question 5 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1eaf59b460d7261f4fa.JPG' />
From above the image Consider the frequency distribution table which gives the weights of 38 students of a class. Find the probability of a student weighing more than 30 kg.
Question 6 :
The inner diameter of a circular well is 3.5 m. It is 10 m deep. Find its inner curved surface area.Assume $\pi$ =$\frac{22}{7}$.
Question 7 :
If the lateral surface of a cylinder is 94.2 $cm^2$ and its height is 5 cm, then find its volume. (Use $\pi$ = 3.14)
Question 8 :
The height and the slant height of a cone are 21 cm and 28 cm respectively. Find the volume of the cone.
Question 9 :
A cylindrical roller 2.5 m in length, 1.75 m in radius when rolled on a road was found to cover the area of 5500 $m^2$ . How many revolutions did it make?
Question 10 :
State true or false. An edge of a cube measures r cm. If the largest possible right circular cone is cut out of this cube, then the volume of the cone (in $cm^3$) is $(\frac{1}{6})\pi r^3$.
Question 11 :
If the triangle ABC with sides 5 cm,12 cm and 13 cm is revolved about the side 5 cm, then find the volume of the solid so obtained.
Question 12 :
A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water will fall into the sea in a minute?
Question 13 :
A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is 30 cm long, 25 cm wide and 25 cm high. How much of tape is needed for all the 12 edges?
Question 14 :
A conical tent is 10 m high and the radius of its base is 24 m. Find the cost of the canvas required to make the tent, if the cost of 1 $m^2$ canvas is Rs 70.
Question 15 :
A cloth having an area of 165 $m^2$ is shaped into the form of a conical tent of radius 5 m. Find the volume of the cone.