Advertisements
Advertisements
प्रश्न
The capacity of a closed cylindrical vessel of height 1 m is 15.4 L. How many square metres of metal sheet would be needed to make it?
उत्तर
Height of cylindrical vessel = 1 m
Capacity of the cylindrical vessel = 15.4 L
In metre cube = `15.4/1000` = 0.0154 m3 ...[∵ 1 m3 = 1000 L]
Volume of a cylinder = πr2h
⇒ `22/7 xx r^2 xx 1 = 0.0154`
⇒ `r^2 = 0.0154/3.14 = 0.0049`
⇒ `r = sqrt(0.0049) = 0.07 m`
∴ Metal of sheet required = 2πrh
= `2 xx 22/7 xx 0.07 xx 1`
= 0.4396
= 0.44 m2
APPEARS IN
संबंधित प्रश्न
A cylindrical container is filled with ice-cream, whose diameter is 12 cm and height is 15 cm. the whole ice-cream is distributed to 10 children in equal cones having hemispherical tops. If the height of the conical portion is twice the diameter of its base, find the diameter of the ice-cream.
If the heights of two right circular cones are in the ratio 1 : 2 and the perimeters of their bases are in the ratio 3 : 4, what is the ratio of their volumes?
What is the ratio of the volume of a cube to that of a sphere which will fit inside it?
A spherical glass vessel has a cylindrical neck that is 7 cm long and 4 cm in diameter. The diameter of the spherical part is 21 cm. Find the quantity of water the vessel can hold.
In a corner of a rectangular field with dimensions 35m × 22 m, a well with 14 m inside diameter is dug 8 m deep. The earth dug out is spread evenly over the remaining part of the field. Find the rise in the level of the field.
The radii of the circular ends of a bucket of height 15 cm are 14 cm and r cm (r < 14). If the volume of bucket is 5390 cm3, then find the value of r.
66 cubic cm of silver is drawn into a wire 1 mm in diameter. Calculate the length of the wire in metres.
The length of the longest pole that can be kept in a room (12 m × 9 m ×8 m) is
πThe height of a cylinder is 14 cm and its curved surface area is 264 cm2. The volume of the cylinder is
The radius of the base and the height of a solid right circular cylinder are in the ratio 2 : 3 and its volume is 1617 cm3. Find the total surface area of the cylinder.
