Advertisements
Advertisements
Question
The diameter of a right circular cylinder is 12 m and the slant height is 10 m. Find its curved surface area and the total surface area .
Solution
Diameter of the cylinder = 12 m ⇒ radius = 6 m
Curved surface area = circumference of the base × height
= `2pir xx h`
= `2 xx 22/7 xx 6 xx 10`
= 377.14 m2
Curved Surface area = 377.14 m2
Total surface area = Curved surface area + (2 × base area)
= `2pirh + 2pir^2`
= `2pir(h + r)`
= `2 xx 22/7 xx 6 xx (10 + 6)`
= `2 xx 22/7 xx 6 xx 16`
= `603.42 "m"^2`
Total Surface area = 603.42 m2
APPEARS IN
RELATED QUESTIONS
An arc of a circle is of length 5π cm and the sector it bounds has an area of 20 π cm2. Find the radius of the circle.
Three semicircles each of diameter 3 cm, a circle of diameter 4.5 cm and a semicircle of radius 4.5 cm are drawn in the given figure. Find the area of the shaded region
A gardener wants to fence a circular garden of diameter 21 m. Find the length of the rope he needs to purchase, if he makes 2 rounds of fence. Also find the costs of the rope, if it cost ₹ 4 per meter. (Take `pi = 22/7`)
Find the area of circle whose circumference is 44 cm.
A playground has the shape of rectangle, with two semicircles on its smaller sides as diameters, added to its outside. If the sides of rectangle are 36m and 24.5m. find the area of playground.
Find the perimeter of a semicircular protractor whose diameter is 14 cm.
The sum of the radii of two circles is 7 cm, and the difference of their circumferences is 8 cm. Find the circumference of the circles.
A boy is cycling in such a way that the wheels of his bicycle are making 140 revolutions per minute. If the diameter of a wheel is 60 cm, calculate the speed (in km/h) at which the boy is cycling.
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.
Find the curved surface area , the total surface area and the volume of a cone if its :
Height = 16 cm , diameter = 24 cm
The base circumferences of two cones are the same. If their slant heights are in the ratio 5 : 4, find the ratio of their curved surface areas.
The circumference of a circular field is 308 m. Find is:
(i) Radius
(ii) Area.
A cart wheel makes 9 revolutions per second. If the diameter of the wheel is 42cm, find its speed in km per hour. (Answer correct to the nearest km)
A wire bent in the form of an equilateral triangle has an area of `121sqrt(3)"cm"^2`. If the same wire is bent into the form of a circle, find the area enclosed by the wire.
Find the perimeter of the given shape (Take π = `22/7`).
Sudhanshu divides a circular disc of radius 7 cm in two equal parts. What is the perimeter of each semicircular shape disc? (Use π = `22/7`)
A wheel of a car covers a distance of 3520 cm in 20 rotations. Find the radius of the wheel?
The radii of the two circles are 19 cm and 9 cm respectively. The radius of the circle which has a circumference equal to the sum of the circumference of two circles is ____________.
In covering a distance s metres, a circular wheel of radius r metres makes `s/(2πr)` revolutions. Is this statement true? Why?
Areas of two circles are equal. Is it necessary that their circumferences are equal? Why?
