#### (i) The sum of the radius and the height of a cylinder is 37 cm and the total surface area of the cylinder is 1628 cm^{2}. Find the height and the volume of the cylinder.

(ii) The total surface area of a cylinder is 352 cm^{2}. If its height is 10 cm, then find the diameter of the base.

**Solution:**

**More Solutions:**

- The length of the tangent to a circle is 24 cm and the distance of Q.
- If the angle between two radii of a circle is 130°.
- If tangents PA and PB from an exterior point P to a circle.
- At one end A of a diameter AB of a circle of radius 5 cm.
- AB is a chord of the circle such that ∠ACB = 50°.
- PA and PB are tangents to a circle with centre O.