Advertisements
Advertisements
प्रश्न
A conical tent with a capacity of 600 m3 stands on a circular base of area 160 m2 Find in m2 the area of the canvas.
उत्तर
Area of the circular base = 160m2
`pir^2 = 160`
⇒ `r = sqrt((160 xx 7)/22)`
⇒ `r = sqrt(50.909)` = 7.134 m
Therefore , radius = 7.134 m
Capacity or Volume of the tent = 600m3
`1/3pir^2h = 600`
⇒ `1/3 xx 22/7 xx 7.13 xx 7.13 xx h = 600`
⇒ `h = (600 xx 3 xx 7)/(7.13 xx 7.13 xx 22)`
⇒ h = 11.265m
Therefore , vertical height = 11.265 m
We know slant height (l) =
l = `sqrt(r^2 + h^2)`
⇒ `l = sqrt(7.134^2 + 11.265^2)`
⇒ `l = sqrt(177.624) = 13.327`
Therefore , slant height = 13.327 m
The curved surface area = `pirl = 22/7 xx 7.134 xx 13.327` = 298.9m2
Hence , the area of the canvas = 298.9 m2
APPEARS IN
संबंधित प्रश्न
In Fig. 4, ABCD is a square of side 14 cm. Semi-circles are drawn with each side of square as diameter. Find the area of the shaded region.
(use `pi=22/7`)
A bicycle whell makes 5000 revolutions in moving 11 km. Find the diameter of the wheel
The length of minute hand of a clock is 14 cm. Find the area swept by the minute hand in one minute. (Use π = 22/7)
A horse is tied to a pole with 28m long string. Find the area where the horse can graze.
A steel wire when bent is the form of square encloses an area of 12 cm2. If the same wire is bent in form of circle. Find the area of circle.
A horse is placed for grazing inside a rectangular field 40m by 36m and is tethered to one corner by a rope 14m long. Over how much area can it graze.
In circle of radius 6cm, chord of length 10 cm makes an angle of 110° at the centre of circle find The area of sector
Choose the correct alternative answer for the following question.
A cone was melted and cast into a cylinder of the same radius as that of the base of the cone. If the height of the cylinder is 5 cm, find the height of the cone.
Four equal circles are described about the four corners of a square so that each touches two of the others, as shown in the figure. Find the area of the shaded region, if each side of the square measures 14 cm.
The area of a circle is 38.5 cm2. The circumference of the circle is
A chord of a circle of radius 30 cm makes an angle of 60° at the centre of the circle. Find the area of the minor and major segments.
Find the area enclosed between two concentric circles, if their radii are 6 cm and 13 cm respectively.
Find the area and perimeter of the following semi-circle :
Radius= 1.4 cm
Find the area and perimeter of the following sector :
Diameter = 42 cm, angle at the centre is 100·.
Find the area of a circular field that has a circumference of 396 m.
Find the volume and the surface area of the spheres in the following :
Radius= 2.1 cm
If the circumference of a circle is 82π, then the value of ‘r’ is
Is it true that the distance travelled by a circular wheel of diameter d cm in one revolution is 2 π d cm? Why?
Circumference of a circle disc is 88 cm. Its radius is ______.
Area of circular garden with diameter 8 m is ______.
