Volume of Cylinder

Q.

Question 11
How many spherical lead shots each of diameter 4.2 cm can be obtained from a solid rectangular lead piece with dimensions 66 cm, 42 cm and 21 cm.

Q.

A gulab jamun contains sugar syrup up to about 30% of its volume. Find approximately how much syrup would be found in 45 gulab jamuns, each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm. [4 MARKS]

Q. Question 11
16 glass spheres each of radius 2 cm are packed into a cuboidal box of internal dimensions $16cm\times 8cm\times 8cm$ and then the box is filled with water. Find the volume of water filled in the box

Q.

A test tube of volume V kept open initially is closed with an air tight cork. The quantity of air inside the test tube is:

1. >V

2. <V

3. =V

4. 2V

Q. A solid iron rectangular block of dimensions $(2.2m\times 1.2m\times 1m)$ is cast into a hollow cylindrical pipe of internal radius $35cm$ and thickness $5cm$. Find the length of the pipe.

Q. A dairy farmer uses a storage silo that is in the shape of the right circular cylinder above. If the volume of the silo is $72\pi$ cubic yards, what is the diameter of the base of the cylinder in yards?

1. $5$
2. $6$
3. $7$
4. $4$

Q. A spherical stone whose density is $2$ $gm/c{m}^3$ is $42$ cm in diameter. What is the weight of the spherical stone?

Q. What is the volume of material required to make a hollow cylinder having inner and outer radius as 2 cm and 3 cm respectively and height as 14 cm?
$\left[2Marks\right]$

Q.

An iron rod of diameter 1cm and length 8cm is drawn into a wire of length 18m of uniform thickness. Find the thickness of the wire?

1. 0.06 cm

2. 0.09 cm

3. 0.05 cm

4. 0.08 cm

Q. A cylindrical bucker with base radius $15cm$ is filled with water up to a height of $20cm$. A heavy iron spherical ball of radius $9cm$ is dropped into the bucket to submerge completely in the water. find the increase in the level of water

1. $4.32cm$
2. $5.42cm$
3. $6.54cm$
4. $7.62cm$

Q. The radii of two cylinders are in the ratio of 2:3 and their heights are in the ratio of 5:3. The ratio of their volumes is 20:___.

1. 27