How many cylinder glasses of 3cm base radius and height 8cm can be refilled from a cylindrical vessel of base radius 15cm which is filled up to a height of 32 cm

Q. The volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 3 cm and height 7 cm is

Q. The volume of a cylindrical bottle of radius 2 cm is 88cm^3 then it's height is

Q. A cylindrical tank has radius of

154 c m

. It is filled with water till a height of

3

metres. If some water to a height of

4.5

metres is poured into it, What will be the increase in the volume of water?

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The radius of a cylindrical box is 8 cm and the height is 3cm. The number of inches that may be added to either the radius or the height to give the same non-zero increase in volume is:

The correct option is B 513Since V=πr2h, we must have π(r+x)2h=πr2(h+x).∴x=(r2−2rh)/h. For r=8 and h=3, we have x=513.

The radius of a cylindrical box is $8$ cm and the height is $3$ cm. The number of inches that may be added to either the radius or the height to give the same non-zero increase in volume is:

The correct option is B $5 \frac{1}{3}$
Since $V = π r^{2} h$ , we must have $π (r + x)^{2} h = π r^{2} (h + x)$ .
$∴ x = (r^{2} - 2 r h) / h$ .
For $r = 8 a n d h = 3,$
we have $x = 5 \frac{1}{3}$ .