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TEA [102]
3 years ago
15

The boys kept adding sand, and ten minutes later the volume of the sand cone had increased by 30%. What is the exact volume of t

he sand cone now? (Show your work. Remember you can draw a picture to help you solve the problem.)
Mathematics
1 answer:
RideAnS [48]3 years ago
5 0

Answer:

a) 84π b) 109.2π

Step-by-step explanation:

The formula to find this is v=πr^2h/3

r=d/2. so the radius (r) is 6 because you have to divide the diameter (12) by 2. and the height is 7. so, 6^2=36 and 36x7=252.

252/3=84

and because the question is asking for the EXACT value, you need to just put the pi symbol next to it. Final answer for a is 84π

B) you need to find 30% of 84, which is 25.2 and add it to 84, and you will get 109.2! Final answer is 109.2π.

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What is the probability of rolling a dice at most 3 times until a 6 occurs
IRISSAK [1]

Answer:

Probablity of getting six in at most three roll= 0.199.

Step-by-step explanation:

Given: Dice rolled at most 3 times untill a 6 occurs.

First, finding the probablity of getting 6 in a dice if rolled once.

Probablity= \frac{chances\ of\ occurance}{Total\ number\ of\ event}

We know, dice have six side, therefore, total number of event will be 6.

∴ Probablity of getting six in one roll= \frac{1}{6}

As given, Dice is rolled at most 3 times.

Now, finding the probablity of getting 6 in a dice if rolled 3 times.

∴ Probablity of getting six in three roll= \frac{1}{6}+(\frac{1}{6})^{2} +(\frac{1}{6})^{3}

⇒ Probablity of getting six in three roll=  \frac{1}{6}+\frac{1}{36} +\frac{1}{216}

Taking LCD 216

⇒Probablity of getting six in three roll= \frac{1\times 36+ 6\times 1+1}{216}

⇒Probablity of getting six in three roll= \frac{43}{216}

∴Probablity of getting six in three roll=0.199

           

3 0
4 years ago
the population of a town was 650000. Due to an epidemic,the population of the town went down by 12%.Find the current population
Dimas [21]

Answer:

572000

Step-by-step explanation:

The population reduced by 12%, so (100-12)=88% is remaining.

So, 88% of 650000= 0.88 x 650000

= 572000

4 0
3 years ago
Read 2 more answers
Write and solve an inequality for each problem. Jorge’s soccer team is having its annual fundraiser. The team hopes
adelina 88 [10]
First of all, they need to triple their profits. So 87 x 3 = 241.

When you read the question, it says at least. In inequality terms, that means greater than equal to. You’d do this:

x is the amount of money they raise this year.

5 0
3 years ago
HELP ME PLS
PSYCHO15rus [73]

Answer:

A=30

Step-by-step explanation:

3 0
3 years ago
The graphs of functions f(x) and g(x) = f(x) + k are shown below<br><br> what is the value of k?
natali 33 [55]

Answer:

k = 2

Step-by-step explanation:

f(x) and g(x) = f(x) + k

G(x) is the function f(x) moved up k units

G(x) is moved up 2 units so k is 2

5 0
3 years ago
Read 2 more answers
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