Advertisements
Advertisements
प्रश्न
The adjoining figure represents a solid consisting of a cylinder surmounted by a cone at one end and a hemisphere at the other. Find the volume of the solid.
उत्तर
Diameter of the cylindrical part =7 cm
Therefore,radius of the cylindrical part = 3.5 cm
Volume of hemisphere `= 2/3pir^3 = 2/3xx22/7xx3.5xx3.5xx3.5 = 89.83 "cm"^3`
Volume of the cylinder`= pir^2h =22/7xx3.5xx3.5xx6.5 = 250.25 "cm"^3`
Height of cone
= 12.8 - 6.5 = 6.3 cm
Volume of the cone `=1/3pir^2h =1/3xx22/7xx3.5xx3.5xx6.3 = 80.85 "cm"^3`
Total volume `= 89.83 + 250.25 + 80.85 = 420.93 "cm"^3`
APPEARS IN
संबंधित प्रश्न
A gulab jamun, contains sugar syrup up to about 30% of its volume. 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 2.8 cm (see the given figure). Use [π = 22/7]
A circus tent has cylindrical shape surmounted by a conical roof. The radius of the cylindrical base is 20 m. The heights of the cylindrical and conical portions are 4.2 m and 2.1 m respectively. Find the volume of the tent.
A cylindrical container of radius 6 cm and height 15 cm is filled with ice-cream. The whole ice-cream has to be distributed to 10 children in equal cones with hemispherical tops. If the height of the conical portion is 4 times the radius of its base, then find the radius of the ice-cream cone.
The diameter of a sphere is 14 cm. Its volume is
A solid metallic sphere of diameter 21 cm is melted and recast into small cones of diameter 3.5 cm and height 3 cm each. Find the number of cones so formed.
A solid rectangular block of dimensions 4.4 m, 2.6 m and 1 m is cast into a hollow cylindrical pipe of internal radius 30 cm and thickness 5 cm. Find the length of the pipe.
Find the perimeter and area of the shaded portion of the following diagram; give your answer correct to 3 significant figures. (Take π = 22/7).
If the radius of base of a right circular cylinder is halved, keeping the height same, the ratio of the volume of the reduced cylinder to that of the original cylinder is ______.
Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter 2 cm and height 16 cm. The diameter of each sphere is ______.
A medicine-capsule is in the shape of a cylinder of diameter 0.5 cm with two hemispheres stuck to each of its ends. The length of entire capsule is 2 cm. The capacity of the capsule is ______.
