Find the capacity of the glass. In calculating the area of a segment of a circle, problems should be restricted to a central angle of 60°, 90°, and 120° only. For solving above type of problems, we need to find the of simple closed plane figures figure which lie in a plane and surface areas and volumes of solid figures figures which do not lie wholly in a plane. Answer Modal class of the given data is 60—80. The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find the total surface area of the toy. He proved that the volume of a sphere is equal to two-third the volume of a circumscribed cylinder.
Simple situational problems must be included. If the total height is 22 cm, diameter of the cylindrical portion is 8 cm and the diameter of the top of the funnel is 18 cm, find the area of the tin sheet required to make the funnel see the given figure. Find the mass of the pole, given that of iron has approximately 8 g mass. A well of diameter 3 m is dug 14 m deep. Also find the cost of metal sheet used to make the container, if it costs Rs.
Write the height of the frustum. Find the mass of the pole, given that 1 cm3 of iron has approximately 8g mass. Porous bricks are placed in the water until the cistern is full to the brim. Assume the outer and inner dimensions of the model to be nearly the same. With an in-depth study of this chapter and solving of the problems will help the students to solve complex problems easily.
Answer: The shape of the well will be cylindrical. Here the curved surface of the hemisphere is a depression, unlike a projection in the previous question Total Surface Area Question 6: A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. If each cone has a height of 2 cm, find the volume of air contained in the model that Rachel made. Find the quantity of water it can hold. Calculate the side of the new cuboid and also calculate the ratio between their surface areas.
Find the height of the embankment. Find the ratio of their radii. If its radius on the open side is 10 cm, radius at the upper base is 4 cm and its slant height is 15 cm, find the area of material used for making it. If the height and diameter of the cylindrical part are 2. 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. Find the volume of the solid in terms of π. Find the volume of wood in the entire stand.
Solution: This question can be solved like previous question. Graphical representation makes the chapter more interactive and clears the concepts in a better and comprehensive manner. The length of the total capsule is 14 mm with diameter of 5 mm. Find the volume and surface area of the double cone so formed. Calculate the surface area of the remaining solid. The diameters of its two circular ends are 4 cm and 2 cm. Find the number of marble that should be dropped into the beaker so that the water level rises by 5.
Find the cost of the milk which can completely fill the container, at the rate of Rs. Find approximately how much syrup would be found in 45 gulab jamuns, each shaped like a cylinder with two hemispherical ends, with length 5 cm and diameter 2. If the rainwater collected from the roof just fill the cylindrical vessel, then find the rainfall in cm. The table below shows the daily expenditure on food of 25 households in a locality. Assume the outer and inner dimensions of the model to be nearly the same. Determine the surface area of the remaining solid.
All solutions are appropriate for the academic session 2018-19. This bucket is emptied on the ground and a conical heap of sand is formed. The topics and sub-topics in Chapter 14 Statistics are given below. If the total height and the diameter of the cylindrical portion are 22 cm and 8 cm respectively and diameter of the top of the funnel is 18 cm, calculate the area of the metallic sheet required to make the funnel. The following distribution shows the daily pocket allowance of children of a locality.