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3 years ago

A spherical boulder is 18 ft in diameter and weighs almost 8 tons. Find the volume. Use 3.14 for piπ.

Mathematics

1 answer:

vampirchik [111]3 years ago

7 0

Answer:

Volume, $V=3052.08\ ft^3$

Step-by-step explanation:

It is given that,

Diameter of spherical boulder is 18 ft

Weight of spherical boulder is 8 tons.

We need to find the volume of spherical boulder. The formula of the volume of sphere is given by :

$V=\dfrac{4}{3}\pi r^3$

r is radius of spherical boulder, r = 9 ft

Substituting all values in above formula :

$V=\dfrac{4}{3}\times 3.14\times (9)^3\\\\V=3052.08\ ft^3$

The volume of spherical boulder is $3052.08\ ft^3$ .

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mars1129 [50]

Answer:

Option B. 75

Step-by-step explanation:

we know that

A negative correlation or inverse correlation is a relationship between two variables such that as the value of one variable increases, the other decreases

we know that

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3 years ago

Find the product. a^4(3a ^2 - 2a + 1)

Vikki [24]

a⁴(3a² - 2a + 1)

We just have to multiply each term inside the parentheses by a⁴ .

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Now, just addum up : 3a⁶ - 2a⁵ + a⁴

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3 years ago

If f(x)f(x) is an exponential function where f(-1)=5f(−1)=5 and f(7)=32f(7)=32, then find the value of f(4)f(4), to the nearest

Whitepunk [10]

Using an exponential function, it is found that the value of the function when x = 4 is of f(4) = 15.95.

<h3>What is an exponential function?</h3>

It is modeled by:

$y = ab^x$

In which:

a is the initial value.

b is the rate of change, as a decimal.

In this problem, we have that f(-1)=5, hence:

$5 = ab^{-1}$

$\frac{a}{b} = 5$

a = 5b

We also have that f(7)=32, hence:

$32 = ab^7$

Since a = 5b:

$5b^8 = 32$

$b = \sqrt[8]{\frac{32}{5}}$

b = 1.2612.

a = 5b = 5 x 1.2612 = 6.306.

Hence the function is given by:

$y = 6.306(1.2612)^x$

Then, when x = 4, we have that:

$y = 6.306(1.2612)^4 = 15.95$

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

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2 years ago

What is 9*10^-5 in standard notation

kvasek [131]

Answer:

[see answer below]

Step-by-step explanation:

$9*10^{-5}$

We would move the decimal 5 places to the left.

$9*10^{-5}\\\\\rightarrow\boxed{0.00009}$

Hope this helps!

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3 years ago

I dont know the answer to this question

strojnjashka [21]

Answer:

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Step-by-step explanation:

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2 years ago