Volume & Surface Area: WJEC GCSE Higher November 2017 Unit 2 Q11

Higher November 2017 Unit 2 Q11

WJECHigherCurrent spec4 marksVolume & Surface Area

11. A cone is joined to a cylinder, as shown below.
The cone has a base radius of 11 cm and a slant height of 13 cm.
The cylinder has the same radius, 11 cm, and a height of 17 cm.
Calculate the total surface area of the composite solid. [4]

A cone sitting on top of a cylinder of the same radius

Diagram not drawn to scale

From the formula list: Curved surface area of cone \(= \pi r l\)

Total surface area = …………………… cm²

Mark scheme

Scheme	Marks	Comments
(Curved surface area of cone =) π×11×13	M1	143π or values between 449.02 and 449.306
(Curved surface area of cylinder =) 2×π×11×17	M1	374π or values between 1174.36 and 1175.108
(Base of cylinder =) π×11×11	M1	121π or values between 379.94 and 380.182
(Total surface area=) Answer in the range 2003.3(cm²) to 2004.6(cm²) or 2005(cm²) or 638π (cm²)	A1	CAO. Unsupported correct answer is awarded full marks.