A solid metallic cylinder of radius 14 cm and height 32 cm is melted down to form cubes. How many such cubes can be made if height of each cube is 4 cm?
1. 304
2. 308
3. 306
4. 302
1. 304
2. 308
3. 306
4. 302
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Please briefly explain why you feel this question should be reported.
Please briefly explain why you feel this answer should be reported.
Please briefly explain why you feel this user should be reported.
Correct Answer – Option 2 : 308
Given:
The radius of the cylinder = 14 cm
Height of the cylinder = 32 cm
Formula used:
Volume of cylinder = πr2h
Volume of cube = a3
Calculation:
According to the question,
Volume of the cylinder = πr2h
⇒ \(\frac{{22}}{7} × 14 × 14 × 32\)
⇒ 22 × 2 × 14 × 32
⇒ 19712
Side of cube = 4
No. of cubes = 19712/43
⇒ No. of cubes = 19712/64
⇒ No. of cubes = 308
∴ The number of cubes that can be made is 308.