Advertisements
Advertisements
प्रश्न
Find the diameter of the sphere for the following :
Volume = `72pi "cm"^3`
उत्तर
Volume = `72pi "cm"^3`
Volume of sphere = `4/3pir^3 = 72pi`
⇒ `4/3pir^3 = 72pi`
⇒ `4/3 xx r^3 = 72`
⇒ `r^3 = (72 xx 3)/4 = 216/4`
⇒ `r^3 = 54`
⇒ `r = 3 root(3)(2)` cm
Radius = `3 root(3)(2)` cm `3 root(3)(2)` ⇒ Diameter = 2r = `6 root(3)(2)` cm `root(3)(2)`
APPEARS IN
संबंधित प्रश्न
All the vertices of a rhombus lie on a circle. Find the area of the rhombus, if the area of the circle is 1256 cm2. (Use π = 3.14)
In Fig. 4, O is the centre of a circle such that diameter AB = 13 cm and AC = 12 cm. BC is joined. Find the area of the shaded region. (Take π = 3.14)
An elastic belt is placed around the rim of a pulley of radius 5 cm. (Fig. 10) From one point C on the belt, the elastic belt is pulled directly away from the centre O of the pulley until it is at P, 10 cm from the point O. Find the length of the belt that is still in contact with the pulley. Also find the shaded area (use π = 3.14 and `sqrt3=1.73)`
Find the area of the sector of a circle whose radius is 14 cm and angle of sector is 45º
A car travels 1 km distance in which each wheel makes 450 complete revolutions. Find the radius of wheel.
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.
Find the area of the sector of a circle having radius 6 cm and of angle 30°. [Take π = 3.14]
PQRS is a diameter of a circle of radius 6 cm. The lengths PQ, QR and RS are equal. Semicircles are drawn with PQ and QS as diameters, as shown in the given figure. If PS = 12 cm, find the perimeter and area of the shaded region.
The area of a circle is 49 π cm2. Its circumference is:
The area of a circular ring enclosed between two concentric circles is 88 cm 2. Find the radii of the two circles, if their difference is 1 cm.
Sand from a cylindrical bucket 32 cm in height and 18 cm in radius is poured onto the ground making a conical heap 24 cm high. Find the radius of the conical heap.
A metal wire, when bent in the form of an equilateral triangle of largest area, encloses an area of 484 `sqrt3` cm2. If the same wire is bent into the form of a circle of largest area, find the area of this circle.
Each side of a square is 44 cm. Find its perimeter. If this perimeter is equal to the circumference of a circle, find the radius of the circle.
A bucket is raised from a well by means of a rope which is wound round a wheel of diameter 77 cm. Given that the ascends in 1 minute 28 seconds with a uniform speed of 1.1 m/sec, calculate the number of complete revolutions the wheel makes in raising the bucket. (Take π =22/7)
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
A Rose garden is in the form of circle of radius 63 m. The gardener wants to fence it at the rate of ₹ 150 per metre. Find the cost of fencing?
The diameter of a wheel is 1.26 m. The distance traveled in 500 revolutions is ____________.
The moon is about 384000 km from earth and its path around the earth is nearly circular. Find the length of path described by moon in one complete revolution. (Take π = 3.14)
The circumferences of two circles are in the ratio 4 : 5. What is the ratio of their radii?
