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sleet_krkn [62]
2 years ago
14

A soup bowl is in the shape of a hemisphere with a diameter of 10 cm. What is the approximate maximum volume of soup that the bo

wl can hold?
Mathematics
1 answer:
Oduvanchick [21]2 years ago
5 0

Answer:

3.48cm³ (approximated)

Step-by-step explanation:

The maximum water that bowl can hold = The volume of the bowl

\boxed{ \mathsf{volume \: of \: bowl =  \frac{2}{3}  \times \pi \: r {}^{3} }}

Radius is half of diameter.

<u>Given</u> -

  • Diameter = 10cm .

<em>From</em><em> </em><em>the</em><em> </em><em>given</em><em> </em><em>data</em><em> </em><em>we</em><em> </em><em>can</em><em> </em><em>derive </em><em>that</em><em> </em><em>the</em><em> </em><em>radius</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>hemispheri</em><em>cal</em><em> </em><em>bowl</em><em> </em><em>is</em><em> </em><em>5</em><em>c</em><em>m</em><em> </em><em>(</em><em>1</em><em>0</em><em>/</em><em>2</em><em>)</em>

Putting the known values into the formula to get the value of the volume of bowl :

\mathsf{volume =  \frac{2}{3} \times \:   3.14 \:  \times  {5}^{3} }

= 3.48888cm³

= 3.48cm³

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8 0
2 years ago
There are two numbers whose sum is 64. The larger number subtracted from 4 times the smaller number gives 31. Find the numbers.
Pani-rosa [81]

There are two numbers whose sum is 64. The larger number subtracted from 4 times the smaller number gives 31. Then the numbers are 45 and 19

<h3><u>Solution:</u></h3>

Given that, There are two numbers whose sum is 64.  

Let the number be a and b in which a is bigger.

Then, a + b = 64 ------ eqn (1)

The larger number subtracted from 4 times the smaller number gives 31.  

4 x b – a = 31  

4b – a = 31 ----- eqn (2)

We have to find the numbers.

So, from eqn (2)

a = 4b – 31

Subatitute a in (1)

4b – 31 + b = 64

On solving we get

5b  = 64 + 31  

5b = 95

b = 19

So, b = 19, then eqn 1

a + 19 = 64

On simplification,

a = 64 – 19

a = 45  

Hence, the two numbers are 45 and 19

3 0
3 years ago
five consecutive terms of an arithmetic sequence have a sum of 40. The product of the middle and the two end terms is 224. Find
ratelena [41]
Let the five terms be: a, a + d, a + 2d, a + 3d, a + 4d, then
a + a + d + a + 2d + a + 3d + a + 4d = 5a + 15d = 40
i.e. a + 3d = 8
Also, (a + 2d)(a + 3d)(a + 4d) = 224
(a + 3d - d)(a + 3d)(a + 3d + d) = 224
(8 - d)(8)(8 + d) = 224
(8 - d)(8 + d) = 224/8 = 28
64 - d^2 = 28
d^2 = 64 - 28 = 36
d = sqrt(36) = 6
But a + 3d = 8
a + 3(6) = 8
a = 8 - 18 = -10

Therefore, the term of the sequence is: -10, -10 + 6, -10 + 2(6), -10 + 3(6), -10 + 4(6)
= -10, -4, -10 + 12, -10 + 18, -10 + 24
= -10, -4, 2, 8, 14

4 0
3 years ago
How do you solve 25x = (1/125)^(4x-5)
amm1812

Step-by-step explanation:

Step 1: 25*x-((1/125)^(4*x-5))=0

step 2: simplify 1/125

step 3: 25x-(1/125)(4x-5)=0

pls i need one more brainly

6 0
2 years ago
Read 2 more answers
Is 0.06 greater than 0.0582
Art [367]

Yes, 0.06 is greater than 0.0582.

If we look at the hundreths place, we can see 6 and 5. 6 is greater than 5 which proves that 0.06 is greater.

Best of Luck!

5 0
3 years ago
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