Mathematics: LT1 10th grade level. How tall I’d the building?

Step-by-step explanation:We are given thaty=0When y=0 then x=0Using shell methodVolume of solidUsing the formulaVolume of solid...

LT1 10th grade level. How tall I’d the building?

cynthiagutierrez65

27.04.2021

99.166 m

Step-by-step explanation:

let height = h

using similarity,

60/170 = 35/x

x = 35 × 170/60 = 99.166 m

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cbowling8

27.07.2022

$V=47239.2\pi$

Step-by-step explanation:

We are given that

$y=\sqrt{x}$

y=0

x=81

When y=0 then x=0

Using shell method

Volume of solid

$V=2\pi \int_{a}^{b}xf(x)dx$

Using the formula

Volume of solid

$V=2\pi \int_{0}^{81} x(\sqrt{x})dx$

$V=2\pi \int_{0}^{81}x^{\frac{3}{2}}dx$

$V=2\pi [\frac{2}{5}x^{\frac{5}{2}}]^{81}_{0}$

$V=2\pi\times \frac{2}{5}((81)^{\frac{5}{2}})$

$V=47239.2\pi$

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