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My name is Ann [436]
3 years ago
12

Find the volume of a right circular cone that has a height of 6.6 cm and a base with the radius of 14.7

Mathematics
1 answer:
melamori03 [73]3 years ago
5 0

Answer:

Volume of the cone = 1492.75\, cm^2\\

Step-by-step explanation:

Height of the cone = 6.6\,cm

Radius of the base= 14.7\,cm

Volume of the cone is:

           =\pi \times r^2 \times \dfrac{h}{3}

As,   \pi =\dfrac{22}{7}=3.14

Volume is:

          =3.14\times (14.7\times 14.7)\times \dfrac{6.6}{3 } \\\\=3.14\times 216.09 \times 2.2\\\\=3.14\times 475.40\\\\=1492.75\, cm^2\\

 Volume of the cone is : 1492.75\, cm^2\\

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Simplify.<br>y^5 ÷ y^3 × y^2 <br>NEED HELP ASAPP PLEASEEE ??? <br>Will get BRAINLIEST***​
Volgvan

Answer:

y^5  ÷  y^3 * y^2 = y^4

Step-by-step explanation:

https://www.symbolab.com/solver/factor-calculator/Simplify%20y%5E%7B5%7D%5Cdiv%20y%5E%7B3%7D%C3%97y%5E%7B2%7D%20

(use that link if you want to see the work for yourself)

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3 years ago
Solve the inequality.<br> 2(4+2x)&gt;5x+5<br> oxs-2<br> O X2-2<br> xs3<br> x23
mafiozo [28]

For this case we must resolve the following inequality:

2 (4 + 2x)> 5x + 5

Applying distributive property on the left side of inequality we have:

8 + 4x> 5x + 5

Subtracting 5 from both sides of the inequality:

8-5 + 4x> 5x\\3 + 4x> 5x

Subtracting 4x from both sides of the inequality:

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5 0
3 years ago
A bank loaned out $14000, part of it at the rate of 9% per year and the rest at 17% per year. If the interest received in one ye
WINSTONCH [101]

Using simple interest, it is found that $13,872 was loaned at 9%.

<h3>Simple Interest</h3>

The amount of money after t years in simple interest is modeled by:

A(t) = P(1 + rt)

In which:

  • P is the initial amount.
  • r is the interest rate, as a decimal.

The interest earned is:

I(t) = Prt

A bank loaned out $14000, in two parts, hence:

P_2 = 14000 - P_1

Part of it at the rate of 9% per year and the rest at 17% per year, hence:

r_1 = 0.09, r_2 = 0.17

The interest received in one year totaled $2000, hence:

I_2 = 2000 - I_1

Then:

I_1 = 0.09P_1

I_2 = 0.17I_2

14000 - P_1 = 0.17(2000 - I_1)

Isolating I_1 as a function of P_1, then we can replace on the equation for the first interest.

14000 - P_1 = 340 - 0.17I_1

0.17I_1 = -13660 + P_1

I_1 = \frac{P_1 - 13660}{0.17}

Then:

I_1 = 0.09P_1

\frac{P_1 - 13660}{0.17} = 0.09P_1

P_1 - 13660 = 0.0153P_1

0.9847P_1 = 13660

P_1 = \frac{13660}{0.9847}

P_1 = 13872

$13,872 was loaned at 9%.

To learn more about simple interest, you can take a look at brainly.com/question/25296782

3 0
2 years ago
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