Advertisements
Advertisements
Question
The students of a Vidyalaya were asked to participate in a competition for making and decorating pen holders in the shape of a cylinder with a base, using cardboard. Each pen holder was to be of radius 3 cm and height 10.5 cm. The Vidyalaya was to supply the competitors with cardboard. If there were 35 competitors, how much cardboard was required to be bought for the competition?
Solution
Radius of circular end of cylinder pen holder = 3 cm
Height of pen holder = 10.5 cm
Surface area of 1 pen holder =`"CSA of penholder+Area of base of SA of 1 penholder"= 2pirh+pir^2`
`2pirh+pir^2`
= `2xx3.14xx3xx10.5+3.14138`
= `132xx1.5+198/7cm`
=`198+198/7cm^2`
=`1584/7cm^2`
Area of car board sheet used by 1 competitor = `1584/7 cm^2`
Area of car board sheet used by 35 competitors=`1584/735cm^2=7920cm^2`
APPEARS IN
RELATED QUESTIONS
The lateral surface area of a hollow cylinder is 4224 cm2. It is cut along its height and formed a rectangular sheet of width 33 cm. Find the perimeter of rectangular sheet?
It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm from a metal sheet. How many square meters of the sheet are required for the same?
The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. Calculate the ratio of their curved surface areas.
What length of a solid cylinder 2 cm in diameter must be taken to recast into a hollow cylinder of length 16 cm, external diameter 20 cm and thickness 2.5 mm?
The ratio between the curved surface area and the total surface area of a right circular cylinder is 1 : 2. Find the volume of the cylinder, if its total surface area is 616 cm2.
The volume of a solid cylinder is 7700cm3. Find its height and total surface area if the diameter of its base is 35cm.
The radius of the base of a right circular cylinder is tripled and the height is doubled. What is the ratio of volume of the new cylinder to that of the original cylinder?
A well with 14m diameter is dug 21m deep. The earth taken out of it has been evenly spread all around it to a width of 14m to form an embankment. Find the height of the embankment.
The sum of the height and the radius of a cylinder is 28 cm and its total surface area is 616 cm2, find the volume of the cylinder.
In a cylinder, radius is doubled and height is halved, curved surface area will be ______.
