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.
पर्याय
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 PSR, RTQ and PAQ are three semicircles of diameters 10 cm, 3 cm and 7 cm respectively. Find the perimeter of the shaded region. [Use π=3.14]
The circumference of a circle exceeds the diameter by 16.8 cm. Find the radius of the circle.
A race track is in the form of a ring whose inner circumference is 352 m, and the outer circumference is 396 m. Find the width of the track.
The short and long hands of a clock are 4 cm and 6 cm long respectively. Find the sum of distances travelled by their tips in 2 days. (Take π = 22/7)
In the given figure, O is the centre of the circle with AC = 24 cm, AB = 7 cm and ∠BOD = 90°. Find the area of the shaded region.
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 radius of a sector of a circle is 7 cm. If the measure of the arc of the sector is 210°, find the area of the sector in case.
Choose the correct alternative answer for the following question.
A wire when bent in the form of an equilateral triangle encloses an area of `121sqrt(3) "cm"^2`. The same wire is bent to form a circle. Find the area enclosed by the circle.
A chord of a circle of radius 30 cm makes an angle of 60° at the centre of the circle. Find the areas of the minor major segments.
Find the area enclosed between two concentric cirdes of radii 6.3 cm and 8.4 cm. A third concentric circle is drawn outside the 8.4 cm circle, so that the area enclosed between it and 8.4 cm cirde is the same as that between two inner circles. Find the radii of the third circle correct to two decimal places .
The wheel of the car makes 10 revolutions per second. If its diameter is 70 cm, find the speed of the car in km per hour.
The circumference of a circle is 440 cm. Find its radius and diameter. (Take π = `22/7`)
Find the area and perimeter of the circles with following: Radius = 10.5cm
The cost of fencing a circular field at the rate of Rs.250 per metre is Rs.55000. The field is to be ploughing at the rate of Rs.15 per m2. Find the cost of ploughing the field.
The perimeter of a sector of radius 5.2 cm is 16.4 cm, the area of the sector is ____________.
The area of a circle whose circumference is 22 cm, is ____________.
If the circumference of a circle is 352 metres, then its area in square metres is ____________.
The diameter of a wheel is 1.26 m. The distance traveled in 500 revolutions is ____________.
In covering a distance s metres, a circular wheel of radius r metres makes `s/(2πr)` revolutions. Is this statement true? Why?
