Advertisements
Advertisements
प्रश्न
Find the curved surface area , the total surface area and the volume of a cone if its :
Height = 15 cm , radius = 8 cm
उत्तर
Height = 15 cm , radius = 8 cm
Curved surface area = `(pir sqrt(h^2 + r^2))`
= `22/7 xx 8 xx sqrt(15^2 + 8^2)`
= `22/7 xx 8 xx sqrt(289)`
= `22/7 xx 8 xx 17`
= 427.43
Curved surface area = 427.43 cm2
Total surface area = area of circular base + curved surface area
= `pir^2 + (pir sqrt(h^2 + r^2))`
= `22/7 xx 8 xx 8 + 427.43`
= `201.14 + 427.43`
= 628.57
Total surface area = 628.57 cm2
Volume = `1/3 xx (pir^2) xx h`
= `1/3 xx 22/7 xx 8 xx 8 xx 15`
= 1005.71
Volume of the cone = 1005.71 cm3
APPEARS IN
संबंधित प्रश्न
If the perimeter of a semi-circular protractor is 66 cm, find the diameter of the protractor (Take π = 22/7).
A sector is cut from a circle of radius 21 cm. The angle of the sector is 150º. Find the length of its arc and area.
In circle of radius 6cm, chord of length 10 cm makes an angle of 110° at the centre of circle find Area of the circle
The parallel sides of trapezium are 12 cm and 9cm and the distance between them is 8 cm. Find the area of the trapezium.
The shape of the cross section of a canal is a trapezium. If the canal is 10 m wide at the top, 6 m wide at the bottom and the area of its cross section is `640m^2` , find the depth of the canal.
In the given figure, O is the centre of the sector. \[\angle\]ROQ = \[\angle\]MON = 60° . OR = 7 cm, and OM = 21 cm. Find the lengths of arc RXQ and arc MYN. (\[\pi = \frac{22}{7}\])
The area of a minor sector of a circle is 3.85 cm2 and the measure of its central angle is 36°. Find the radius of the circle.
What is the perimeter of a square which circumscribes a circle of radius a cm?
The circumference of a circle exceeds its diameter by 45 cm. Find the circumference of the circle.
The length of a chain used as the boundary of a semicircular park is 108 m. Find the area of the park.
A horse is placed for grazing inside a rectangular field 70 m by 52 m. It is tethered to one corner by a rope 21 m long. On how much area can it graze? How much area is left ungrazed?
The perimeter of a circular field is 242 m. The area of the field is
In making 1000 revolutions, a wheel covers 88 km. The diameter of the wheel is
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.
Find the area and perimeter of the following sector :
Radius= 4.2 cm, angle at the centre is 60 °
The diameters of the front and the rear wheels of a tractor are 63 cm and 1.54 m respectively. The rear wheel is rotating at `24 6/11` revolutions per minute. Find:
(i) the revolutions per minute made by the front wheel.
(ii) the distance traveled bu the tractor in 40 minutes.
Construct the circumcircle of the ABC when BC = 6 cm, B = 55° and C = 70°.
A wire in the form of a circle of radius 42cm. It is bent into a square. Determine the side of the square and compare the area of the regions enclosed in the two cases.
The area of a circle whose circumference is 22 cm, is ____________.
