A cylinder has dimensions r=5cm, h=10cm. Find the approximate increase in volume wehen r increases by 0.2 cm and h decreases by 0.1 cm.

Question

imstuck · Answer

The volume formula for a cylinder is this:$$V=\pi r ^{2}h$$So if your original values are r = 5 and h = 10, then the volume for that particular cylinder is this:$$V=\pi (5)^{2}(10)$$which is equal to $$V=250\pi $$

imstuck · Answer

When the values for r and h change to 5.2 and 9.9 respectively, the new volume is this:$$V=\pi (5.2)^{2}(9.9)$$which gives you $$V=267.7\pi $$

imstuck · Answer

So the volume increases by$$267.7\pi -250\pi =17.7\pi $$

anonymous · Answer

thank you very much sir but my options are 
53.98cm3
50.98cm3
54.18cm3
54.98cm3