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9 months ago

A mysterious orb is in the shape of a sphere with radius 9.5 inches. Find the volume and surface

Mathematics

1 answer:

Andru [333]9 months ago

8 0

A 9.5-inch-diameter spherical in the shape of a strange orb is present. 3591.36 m3 of volume and surface

<h3>Explain about the Radius?</h3>

The radius of a circle is the separation between any two points on its circumference. R or r is typically used to indicate it.

The diameter of a circle cuts through the centre whereas the radius extends from the centre to the edges of the circle. The diameter of a circle effectively divides the shape in two.

A circle's area is equal to pi times the radius squared (A = r2). Discover how to apply this formula to determine a circle's area given its diameter.

The radius of a circle is the distance from the center to any point on the edge. The radius is equal to the diameter in half, or 2r=d2 r=d.

V=4 \3πr³

= 4/3 π 9.5³

=3591.36

To learn more about Radius refer to:

brainly.com/question/390660

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6 the remainder is 4

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3 years ago

Find the face value of the 20-year zero-coupon bond at 4.4%, compounded semiannually, with a price of $8,375.

umka21 [38]

<u>Given</u>:

Time,

t = 20 years

Rate,

r = 4.4%

Price

= $8,375

Now,

The yield will be:

= $\frac{4.4}{2}$

= $1.1$ (%)

Time will be:

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= $40 \ periods$

As we know the formula,

⇒ $Price \ of \ bond = \frac{Face \ value}{(1+\frac{r}{2} )^{n\times 2}}$

By substituting the values, we get

$8375=\frac{Face \ value}{(1+\frac{0.044}{2} )^{20\times 2}}$

$8375=\frac{Face \ value}{(1.022)^{40}}$

$8375=\frac{Face \ value}{2.3880083}$

The face value will be:

$Face \ value = 2.3880083\times 8375$

$=20,000$ ($)

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3 years ago

Corinna has $72. She wants to buy a $281 plane ticket. She will save up her earnings from working at the museum where she earns

kvv77 [185]

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3 years ago

In a Gallup poll of randomly selected adults, 66% said that they worry about identity theft. For a group of 1013 adults, the mea

Kazeer [188]

Answer:

$Mean = 344$

Step-by-step explanation:

Given

$Population = 1013$

Let p represents the proportion of those who worry about identity theft;

$p = 66\%$

Required

Mean of those who do not worry about identity theft

First, the proportion of those who do not worry, has to be calculated;

Represent this with q

In probability;

$p + q = 1$

Make q the subject of formula

$q = 1 - p$

Substitute $p = 66\%$

$q = 1 - 66\%$

Convert percentage to fraction

$q = 1 - 0.66$

$q = 0.34$

Now, the mean can be calculated using:

$Mean = nq$

Where n represents the population

$Mean = 1013 * 0.34$

$Mean = 344.42$

$Mean = 344$ (Approximated)

3 0

2 years ago

Let f(x) = 7x − 13. Find f−1(x)

motikmotik

$f(x)=7x-13\\\\y=7x-13\ \ \ \ |add\ 13\ to\ both\ sides\\\\y+13=7x\ \ \ \ \ |divide\ both\ sides\ by\ 7\\\\x=\dfrac{y+13}{7}\\\\Answer:f^{-1}(x)=\dfrac{y+13}{7}$

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3 years ago