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lbvjy [14]
3 years ago
11

What is the radius of a sphere with a surface area of 100cm??

Mathematics
1 answer:
Dmitrij [34]3 years ago
8 0

Answer:

The radius is 5

Step-by-step explanation:

The equation for Area of a sphere is

4pi*r^2

Since you have the area and not the radius you do the opposite of the equation so instead of multiplying you divide

100/4 = 25

Then find the square root of 25, which is 5

So your radius is 5.

Hope This Helps!!! :}

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What is the quotient of 362 divided by 50 with a remainder?
oksano4ka [1.4K]

Answer:

7 with a remainder of 12....... I think

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3 years ago
The diagram shows an empty cylindrical container. Ana puts a solid cube of side length 8 cm into the container. She then pours 1
marshall27 [118]

Answer:

<h3><u>Cylinder</u></h3>

\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

Given:

  • r = 6 cm
  • h = 18 cm

\begin{aligned}\implies \sf V &= \sf \pi (6)^2(18)\\& = \sf 648 \pi \: cm^3\end{aligned}

<h3><u>Cube</u></h3>

\textsf{Volume of a cube}=\sf x^3\quad\textsf{(where x is the side length)}

Given:

  • x = 8 cm

\begin{aligned}\implies \sf V &= 8^3\\& = \sf 512 \: cm^3\end{aligned}

<h3><u>Volume available to be filled with water</u></h3>

Volume of cylinder - volume of cube

= 684π - 512

= 1532.75204 cm³

    1 litre = 1000 cm³

⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³

As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder.  Therefore, the water will <u>not</u> come over the top of the container.

4 0
2 years ago
Last year, Pattersonville had a population of 40,500 people . The census indicated that the population of the town has been decr
AleksandrR [38]

Answer:

34175 people will live in Pattersonville 8 years from now

Step-by-step explanation:

Initial population of Pattersonville =40,500

We are given that The census indicated that the population of the town has been decreasing by 2.1% per year .

Now we are supposed to find If this trend continues , approximately how many people will live in Pattersonville 8 years from now

Formula : N(t)=N_0(1-r)^t

Where N(t)= Population after t years

N_0= Initial population

r = rate of decrease = 2.1 %=0.021

t = 8 years

Substitute the values in the formula :

So,N(8)=40500(1-0.021)^8

N(8)=34175.63223

So, 34175 people will live in Pattersonville 8 years from now

7 0
3 years ago
katy desea alquilar un barca y gastar por menos $54. El barco cuesta $7 por hora y katy tiene un cupom de descuento de $9 dolare
MAXImum [283]

Answer:

9 horas

Explanation:

$63 por 9 horas

Cupom de descuento de $9

$63 - $9 = $54

3 0
3 years ago
What's the meaning of ode​
shtirl [24]

An ode is a type of lyrical stanza. It is an elaborately structured poem praising or glorifying an event or individual, describing nature intellectually as nicely as emotionally. A basic ode is structured in three major parts: the strophe, the antistrophe, and the epode.

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3 years ago
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