Question

1 Find the volume of a cone with circumference of base equal to 86 cm and height 80 cm.

2 The area of the base of a right circular cone is 346.5 cm and the height of the cone is 27 cm. Find its volume
3 A conical vessel is 72 m deep and its circular top has radius 35 m. How many kilolitres of oil it can hold.
4 Piece of metal is in the shape of a cone of radius 3 cm and height 7 cm is melted to form a cube. Find it side

5 if the radius of the circular base of a right circular cone is tripled, find the ratio of the volume of the first one to that of the second, the height remaining same.
6 conical vessel whose internal depth and radius are 42 cm and 54 cm respectively, is filled with water
find the weight of this water if one cubic centimetre of water weighs 1 gm.​

Answer 1

Answer:

1.The volume of cone is 15688.48\ cm^{2}15688.48 cm2 .

Step-by-step explanation:

In the question

circumference of base = 86 cm

height = 80 cm

We have to find the volume of cone. In this case first of all, we need to find the radius.

Let the radius of cone be x.

We know that,

circumference of base = 2πr

86 = 2πr

\frac{86}{2} = \pi\ r286=π r

\frac{43}{\pi} = rπ43=r

∴ r = \frac{43}{\pi}\ cmr=π43 cm

Now,

Volume of cone = \frac{1}{3}\pi r^{2}h31πr2h

                           = \frac{1}{3}\times\pi\times\frac{43}{\pi }\times\frac{43}{\pi }\times8031×π×π43×π43×80

                           = \frac{1}{3}\times43\times{43}\times\frac{7}{22}\times8031×43×43×227×80

                            = 15688.48\ cm^{2}15688.48 cm

Answer 2

Answer:

Very simple you cannot do this