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3 years ago

Volume of this cone

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

7 0

Answer:

669.9 ft³

Step-by-step explanation:

The formula for volume of a cone:

$v=\pi r^2*\frac{h}{3} (3.14*radius*radius*\frac{height}{3} )$

$r = radius,\pi =pi,h=height.$

The radius is 8; the height is 10.

From here, we can just plug the numbers into the formula.

$\pi 8^2*\frac{10}{3} (3.14*8*8*\frac{10}{3} ) = 669.866666667.$

$669.866666667$ ≈ $669.9.$

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A rectangle as an area of 240 square ft the base is 15 what is the height of the rectangle

zhannawk [14.2K]

Answer:

16 ft

Step-by-step explanation:

Hi there,

The formula for the area of a rectangle is A = b*h.

So, let's start out by plugging in what we know.

240 = 15h

Now, solve for h by dividing both sides by 15

h = 16

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3 years ago

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A manager at a local company asked his employees how many times they had given blood in the last year. The results of the survey

Lubov Fominskaja [6]

Answer:

$Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779$

And the deviation would be:

$Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54$

Step-by-step explanation:

For this case we have the following distribution given:

X 0 1 2 3 4 5 6

P(X) 0.3 0.25 0.2 0.12 0.07 0.04 0.02

For this case we need to find first the expected value given by:

$E(X) = \sum_{i=1}^n X_i P(X_I)$

And replacing we got:

$E(X)= 0*0.3 +1*0.25 +2*0.2 +3*0.12 +4*0.07+ 5*0.04 +6*0.02=1.61$

Now we can find the second moment given by:

$E(X^2) =\sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2)= 0^2*0.3 +1^2*0.25 +2^2*0.2 +3^2*0.12 +4^2*0.07+ 5^2*0.04 +6^2*0.02=4.97$

And the variance would be given by:

$Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779$

And the deviation would be:

$Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54$

8 0

3 years ago

3. If a ladder is x feet long, how high up a wall can it safely reach?

sineoko [7]

Answer:

xsin∅

Step-by-step explanation:

If the ladder is <em>x foot long</em>, and it can safely make a <em>maximum angle ∅</em> with the floor, then, the maximum height it can reach will be xsin∅

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3 years ago