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2 years ago

find the volume and surface area of each solid. you may use a calculator and use 3.14 as an approximation for pi

Mathematics

1 answer:

mixas84 [53]2 years ago

3 0

Answer:

Area = 452.16 cm²

Volume = 904.32 cm³

Step-by-step explanation:

The solid is a sphere, therefore,

Volume = ⁴/3πr³

Where,

π = 3.14

r = 6 cm

Volume = ⁴/3*3.14*6³

Volume = 904.319997 ≈ 904.32 cm³ (nearest hundredth)

Area = 4πr²

Area = 4*3.14*6²

Area = 452.16 cm²

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Find the minimum value if f(x) = xe^x over [-2,0]

SashulF [63]

Given function:

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$f^{\prime}(x)=xe^x+e^x$ $\begin{gathered} xe^x+e^x\text{ = 0} \\ e^x(x\text{ + 1) = 0} \end{gathered}$

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$\begin{gathered} x\text{ + 1 = 0} \\ x\text{ = -1} \end{gathered}$ $\begin{gathered} e^x\text{ = 0} \\ \text{Does not exist} \end{gathered}$

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