Question

The dimensions of a cylindrical side riser (height = diameter) for a 25 cm × 15 cm × 5 cm steel casting are to be determined. For the tabulated shape factor values givenbelow, diameter of the riser (in cm) is

Shape Factor	2	4	6	8	10	12
Riser volume /Casting volume	1.0	1.70	0.55	0.50	0.40	0.35

• A. 10.6

Answer 1

The correct option is A 10.6

$Z=\frac{L+w}{t}$

Z = shape factor, L = length, w = width
t = thickness

$Z=\frac{25+15}{5}=8$

$\frac{Riservolume}{Castingvolume}=0.5$
Given casting volume = 25 × 15 × 5

$\frac{\frac{\pi }{4}{d}^2\times h}{25\times 15\times 5}=0.5$
Given (d = h)

$\frac{\pi }{4}{d}^3=0.5\times 25\times 15\times 5$

$\Rightarrow d=10.60cm$