Question

Hi, Please answer this maths question. (class 9, surface area and volume)

Answer 1

Answer:

Radius of the big vessel is √(495/2)cm or 15.73cm (approx.)

Step-by-step explanation:

Let vessel 1, vessel 2 and the big vessel be $v_{1}$, $v_{2}$ and $v_{b}$ respectively.

Then, Volume of $v_{1}$ + Volume of $v_{2}$ = Volume of $v_{b}$

∴ π(15²)(25) + π(10²)(18) = π(R²)(30)

∴ 5625π + 1800π = π(R²)(30)

∴ 7425π = 30π(R²)

∴ 7425π/30π = R²

∴ 247.5 = R²

∴ √247.5 = R

∴ √495/2 = 15.73 = R

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