Advertisements
Advertisements
Question
A right circular cylinder just encloses a sphere of radius r units. Calculate the ratio of the areas of the sphere and cylinder
Solution
Surface area of sphere = 4πr2 sq.units
C.S.A of cylinder
= 2πr × h
= 2πr × 2r
= 4πr2 sq.units
Ratio = `(4pi"r"^2)/(4pi"r"^2)` = 1 : 1
APPEARS IN
RELATED QUESTIONS
A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank which is 10 m in diameter and 2 m deep. If the water flows through the pipe at the rate of 4 km per hour, in how much time will the tank be filled completely?
Observe the measures of pots In the given figure. How many jugs of water can the cylindrical pot hold?
A cylinder and a cone have equal bases. The height of the cylinder is 3 cm and the area of its base is 100 cm2. The cone is placed upon the cylinder. The volume of the solid figure so formed is 500 cm3. Find the total height of the figure.
In the given figure shows a toy. Its lower part is a hemisphere and the upper part is a cone. Find the volume and surface area of the toy from the measures shown in the figure (\[\pi = 3 . 14\])
A cylindrical bucket of diameter 28 cm and a height of 20 cm was full of sand. When the sand in the bucket was poured on the ground, the sand got converted into a shape of a cone. If the height of the cone was 14 cm, what was the base area of the cone?
A tin maker converts a cubical metallic box into 10 cylindrical tins. The side of the cube is 50 cm and the radius of the cylinder is 7 cm. Find the height of each cylinder so made, if the wastage of 12% is incurred in the process `(pi = 22/7)`
A vessel is in the form of a hemispherical bowl mounted by a hollow cylinder. The diameter is 14 cm and the height of the vessel is 13 cm. Find the capacity of the vessel
From a solid cylinder whose height is 2.4 cm and the diameter 1.4 cm, a cone of the same height and same diameter is carved out. Find the volume of the remaining solid to the nearest cm3.
A solid consisting of a right circular cone of height 12 cm and radius 6 cm standing on a hemisphere of radius 6 cm is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of the water displaced out of the cylinder, if the radius of the cylinder is 6 cm and height is 18 cm
If two solid hemispheres of same base radius r units are joined together along with their bases, then the curved surface area of this new solid is ______.
