Question

the volume of a cylinder is 38500cm^3 .If the height of the cylinder is 40cm find the diameter of its base​.

Answer 1

Answer:

Given :-

• The volume of cylinder is 38500cm^3.If the height of the cylinder is 40cm.

♧To find :-

• Here we should find diameter of the base.

♧Explanation :-

• $volume \: of \: cylinder = {38500cm}^{3}$

• $height \: of \: cylinder = 40cm$

• $volume = \pi \: {r}^{2} h$

• Now applying all the values we get that,

• $volume = \frac{22}{7} \times {r }^{2} \times 40 = 38500$

• $125.71 \times {r}^{2} = 38500$

• ${r}^{2} = \frac{38500}{125.71}$

• ${r}^{2} = 306.26 = \sqrt{306.26 } = 17.5$

• $radius = 17.5cm$

• $diameter = 2 \times r = 2 \times 17.5 = 35cm$

♧Therefore,

• The diameter of the base is 35cm.

♧Hope it helps u mate .

♧Thank you .

Answer 2

Step-by-step explanation:

diameter is 35cm

Hope it helps

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