# Calculus problems please help me

**URL:** <https://forum.kirupa.com/t/calculus-problems-please-help-me/268506>\
**Category:** Uncategorized\
**Created:** [August 14, 2008, 5:15pm UTC](https://forum.kirupa.com/t/calculus-problems-please-help-me/268506 "2008-08-14T17:15:08Z")\
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**Author:** ![cute\_guy](https://avatars.discourse-cdn.com/v4/letter/c/3ec8ea/32.png) [@cute\_guy](https://forum.kirupa.com/u/cute_guy)\
**Post date:** [August 14, 2008, 5:15pm UTC](https://forum.kirupa.com/t/calculus-problems-please-help-me/268506/1 "2008-08-14T17:15:08Z")

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Hello

I am studying calculus in my year 12.please can u help me to solve this problems.please give me step by step process.  
Thank you very much.:q:

1. The area bounded by the curve y = Tan-1x, the x-axis and the line x = 1 is rotated about the y-axis. Find the volume of the solid generated. Answer = 1.793 cubic units

\*\*2. \*\*A solid sphere of radius 6 cm has a cylindrical hole of radius 1 cm bored through its centre. What is the volume of the remainder of the sphere?

\*\*3. \*\*Find the volume of a truncated cone of height 10 cm, a base radius of 5 cm and a top radius of 2 cm. Answer = 130 cm3

\*\*4. \*\*Find the volume of a torus (donut-shaped figure) generated by rotating a circle x2 + (y-10)2 = 16 about the x-axis (give answer in cm3). Answer = 320 cm3