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3 years ago

If the total surface area of a solid hemisphere is 462 cm2, find its volume.

Mathematics

2 answers:

kramer3 years ago

4 0

Answer:

Step-by-step explanation:

here

total surface area(TSA)= 462 cm²

TSA=3πr²

462 = 3*22/7*r²

462*7=66r²

3,234=66r²

3,234/66=r²

49=r²

√(49=r

r=7

therefore the radia of the hemisphere is 7

now,

volume of hemisphere(V) = (2/3)πr²

V=(2/3)*(22/7)*7²

V=44*7

V=308

Afina-wow [57]3 years ago

4 0

Answer:

radius is 7cm
Step-by-step explanation:

v=2/3piercube

=2/3×22/7×7×7×7

=2156/3

=718.67cmcube

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Suppose the distribution of home sales prices has mean k300, 000 and standard

777dan777 [17]

<u>Given</u>:

Mean,

$\mu = 300,000$

Standard deviation,

$\sigma = 50,000$

The Chebyshev theorem will be used for the solution of the given query,

i.e., $P(|X - \mu| < k \sigma ) \geq 1-\frac{1}{k^2}$

(i)

⇒ $1-\frac{1}{k^2} = 0.75$

$k = 2$

The lower limit will be:

= $\mu - k \sigma$

= $300000-2\times 50000$

= $200000$

The upper limit will be:

= $\mu + k \sigma$

= $300000+2\times 50000$

= $400000$

hence,

The 75% houses sold are between:

⇒ (200000, 400000)

(ii)

⇒ $\mu -k \sigma = Lower \ limit$

By putting the values, we get

$300000-50000k = 150000$

$300000-150000=50000k$

$150000=50000k$

$k=\frac{150000}{50000}$

$=3$

now,

⇒ $1-\frac{1}{k^2} = 1-\frac{1}{3^2}$

$=\frac{8}{9}$

$=0.8888$

$=88.88$ (%)

hence,

88.88% houses sold between 150000 and 450000.

(iii)

⇒ $\mu - k \sigma = Lower \ limit$

By putting the values, we get

$300000-50000k = 170000$

$300000-170000=50000 k$

$130000= 50000 k$

$k = \frac{130000}{50000}$

$=2.6$

now,

⇒ $1-\frac{1}{k^2} = 1-\frac{1}{2.6^2}$

$=0.8521$

$=85.21$ (%)

hence,

85.21% houses are sold between 170000 and 430000.

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koban [17]

Answer:

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Step-by-step explanation:

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