Advertisements
Advertisements
प्रश्न
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.
विकल्प
15 cm
10 cm
18 cm
5 cm
Advertisements
उत्तर
The radius of the cone = Radius of the cylinder = r cm (Say)
Height of the cylinder, h = 5 cm
Let the height of the cone be H cm.
It is given that the cone melted and recasted into a cylinder.
∴ Volume of the cone = Volume of the cylinder
\[\Rightarrow \frac{1}{3}\pi r^2 H = \pi r^2 h\]
\[ \Rightarrow H = 3h\]
\[ \Rightarrow H = 3 \times 5 = 15 cm\]
Thus, the height of the cone is 15 cm.
APPEARS IN
संबंधित प्रश्न
In Fig. 6, find the area of the shaded region, enclosed between two concentric circles of radii 7 cm and 14 cm where ∠AOC = 40°. (use `pi = 22/7`)
In the given figure, the side of square is 28 cm and radius of each circle is half of the length of the side of the square where O and O' are centres of the circles. Find the area of shaded region.
A field is in the form of circle. A fence is to be erected around the field. The cost of fencing would to Rs. 2640 at rate of Rs.12 per metre. Then the field is to be thoroughs ploughed at cost of Rs. 0.50 per m2. What is amount required to plough the field?
A plot is in the form of rectangle ABCD having semi-circle on BC. If AB = 60m and BC = 28m, find the area of plot.
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.
Choose the correct alternative answer for the following question.
In the given figure, ABCD is a square of side 4 cm. A quadrant of a circle of radius 1 cm is drawn at each vertex of the square and a circle of diameter 2 cm is also drawn. Find the area of the shaded region. [π = 3.14]
In the given figure, find the area of the shaded region, if ABCD is a square of side 14 cm and APD and BPC are semicircles.
A path of 8 m width runs around the outsider of a circular park whose radius is 17 m. Find the area of the path.
The wheels of the locomotive of a train are 2.1 m in radius. They make 75 revolutions in one minute.
In a circle of radius 14 cm, an arc subtends an angle of 120° at the centre. If `sqrt(3) = 1.73` then the area of the segment of the circle is
The perimeter of a sector of a circle of radius 5.6 cm is 27.2 cm. Find the area of the sector.
The circumference of a garden roller is 280 cm. How many revolutions does it make in moving 490 meters?
Find the area and perimeter of the following semi-circle :
Radius= 1.4 cm
A 7 m road surrounds a circular garden whose area is 5544 m2. Find the area of the road and the cost of tarring it at the rate of Rs.150 per sq m.
The radius of a circular garden is 56 m. What would it cost to put a 4-round fence around this garden at a rate of 40 rupees per metre?
A wire when bent in the form of a square encloses an area of 484cm2. If the same wire is bent into the form of a circle, find the area of the circle.
Find the circumference of the circles whose radii are given below.
49 cm
A ground is in the form of a circle whose diameter is 350 m. An athlete makes 4 revolutions. Find the distance covered by the athlete
The area of a circle whose circumference is 22 cm, is ____________.
