Question Text
Question 1 :
A sphere and a right circular cylinder of the same radius have equal volumes. By what percentage does the diameter of the cylinder exceed its height ?
Question 2 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d236f59b460d7261f566.jpeg' />
In the above image, Savitri had to make a model of a cylindrical kaleidoscope for her science project. She wanted to use chart paper to make the curved surface of the kaleidoscope. What would be the area of chart paper required by her, if she wanted to make a kaleidoscope of length 25 cm with a 3.5 cm radius? You may take $\pi$=$\frac{22}{7}$ .
Question 3 :
If the lateral surface of a cylinder is 94.2 $cm^2$ and its height is 5 cm, then find its volume. (Use $\pi$ = 3.14)
Question 4 :
Find the volume of a sphere whose surface area is 154 $cm^2$ .
Question 5 :
A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. Find the volume of the solid so obtained.
Question 6 :
The surface area of a sphere of radius 5 cm is five times the area of the curved surface of a cone of radius 4 cm. Find the volume of the cone (taking $\pi=\frac{22}{7}$).
Question 7 :
The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. How many square metres of metal sheet would be needed to make it?
Question 8 :
In a cylinder, if radius is halved and height is doubled, the volume will be:
