The sum of radius of the base of a solid cylinder and the height of the cylinder is 15 cm. If the total surface area of the cylinder is 660 cm², find the volume of the cylinder.

Let the radius be r and height be h, so r plus h equals 15. The total surface area formula is 2 pi r times (r plus h), which gives 660 equals 2 pi r times 15. Solving this yields a radius of 7 cm, making the height 8 cm. The volume formula is pi times r squared times h, so the volume is pi times 7 squared times 8, equaling 1232 cm3.

• Thanks
• Wrong explanation