How is the relationship between the formula for the volume of a cone and the formula for the volume of acylinder

1 answer:

4 0

The volume of the cylinder is calculated by using the product of the area of its base by its height. ... Therefore, the volume of a cone is . So, we can take a logical conclusion: “the volume of a cone means the third part of the volume of a cylinder having the same base and the same height”.

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Find the radius of the cylinder when volume is 304 cm^3 and height is 10 cm

aleksandr82 [10.1K]

Answer:

solution,

Volume of cylinder=304 cm^3

height=10 cm

Radius=?

Now,

$volume = \pi {r}^{2} h \\ or \: 304 = 3.14 \times {r}^{2} \times 10 \\ or \: 304 = 31.4 \times {r}^{2} \\ or \: {r}^{2} = \frac{304}{31.4} \\ or \: {r}^{2} = 9.68 \\ or \: r = \sqrt{9.68} \\ or \: r = \sqrt{ {(3.11)}^{2} } \\ r = 3.11 \: cm$