Question

the volume of a cylinder is 38500 cm cube if the height of the cylinder is 40 cm find the diameter of its base

Answer 1

Answer:

Step-by-step explanation:

volume of a cylinder =pi r^2h

38500=22/7×r^2×40

3850×7/22×4=r^2

306.25=r^2

r=17.5 cm

Answer 2

volume of cylinder = 38500 cm^3

h = 40 cm

let radius be r cm


volume of cylinder :
$= \pi {r}^{2} h \\ \\ 38500 = \frac{22}{7} \times 40 \times {r}^{2} \\ \\ \frac{38500 \times 7}{22} = 40 \times {r}^{2} \\ \\ 1750 \times 7 = 40 \times {r}^{2} \\ \\ \frac{1750 \times 7}{40} = {r}^{2} \\ \\ \frac{175 \times 7}{4} = {r}^{2} \\ \\ \frac{ \sqrt{1225} }{ \sqrt{4} } = r \\ \\ \frac{35}{2} = r \\ \\ r = 17.5cm$


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