Question

a cone of maximam volume is cut out from a 40 cm long wooden cube find volume pf cone

Answer 1

the radius of the cone would be 20
and the height would be 40



so through the formula.
⅓πr²h



⅓×22÷7×20²×40


the answer would be....= 16761.90476

Answer 2

a = 40 cm
therefore, d of cone = 40 cm and h = 20 cm
so r = 20 cm
volume of cone = ⅓πr²h
$= \frac{1}{3} \times \frac{22}{7} \times {20 }^{2} \times 40 \\ = \frac{22 \times 400 \times 40}{21} \\ =352000 \div 21 = 16761.90 \: cm {}^{3}$
volume of cone is 16761.9 cm³