Answer to Question #148820 in Geometry for anlp

Question #148820

If the lateral area of a right circular cylinder is 90 cm2 and its volume is 225 cm3, find its radius.

Expert's answer

Area of right circular cylinder is $A= 2\pi r h$ and volume is $V= \pi r^2 h$ . Thus we have

2\pi rh= 90 \\ rh =\cfrac{45}{\pi}......Eq[1]\\ r^2 h=\cfrac{225}{\pi}.......Eq[2]

Now dividing Eq[2] by Eq[1]...

r=\cfrac{225}{45}\\ r= 5cm.....Ans

radius of right circular cylinder is 5 cm.

Learn more about our help with Assignments: Geometry

Comments

No comments. Be the first!

Leave a comment

Related Questions

1. The total area of a regular tetrahedron is 110.85 m2, determine its base edge in m.
2. The lateral edge of a square prism is 20 cm long and it is inclined at an angle of 60 degrees with t
3. A regular square pyramid has a height of 8m. If the slant height makes an angle of 45o with the base
4. A regular square pyramid has an altitude of 12 m and volume of 196 m3. Determine the slant height of
5. A frustum of a regular hexagonal pyramid has an upper base edge of 5m and a lower base edge of 8.5m.
6. __24. A prismatoid has an upper base of 90%, a lower base of 2100%, an altitude of 100 cm, and a mid
7. The base of a right prism is an equilateral triangle whose edges is 10cm each and its lateral edge i