How can u show 198,000 as a power of 10 using a exponet

From a circular cylinder of diameter 10 cm and height 12 cm are conical cavity of the same base radius and of the same height is

Nataliya [291]

<h3>Volume of the remaining solid = 628 cm^2</h3>

<h3>Whole surface area = 659.4 cm^2</h3>

Step-by-step explanation:

Now, Given that:-

Diameter (d) = 10 cm

So, Radius (r) = 10/2 = 5cm

Height of the cylinder = 12cm.

$volume \: of \: the \: cylinder \: = \pi {r}^{2} h$

$= > \pi \times {5}^{2} \times 12 {cm}^{3} = 300\pi {cm}^{3}$

Radius of the cone = 5 cm.

Height of the cone = 12 cm.

$slant \: height \: of \: the \: cone \: = \sqrt{ {h}^{2} + \: {r}^{2} }$

$= > \sqrt{ {5}^{2}+{12}^{2} } cm \: = 13cm$

Volume of the cone = 1/3 *πr^2h

$= > \frac{1}{3} \pi \times {5}^{2} \times 12 {cm}^{3} = 100\pi {cm}^{3}$

therefore, the volume of the remaining solid

$= 300\pi {cm}^{3} - 100\pi {cm}^{3} \\ = 200 \times 3.14 {cm}^{3} = 628 {cm}^{3}$

Curved surface of the cylinder =

$2\pi \: rh \: = 2\pi \times 5 \times 12 {cm}^{2} \\ = 120\pi {cm}^{2} .$

$curved \: surface \: of \: the \: cone \: = \pi \: rl \\ = \pi \times 5 \times 13 {cm}^{2} \\ = 65\pi {cm }^{2} \\ area \: of \: (upper)circular \: base \: \\ of \: cylinder \: = \\ = \pi \: {r}^{2} = \pi \times {5}^{2}$

therefore, The whole surface area of the remaining solid

= curved surface area of cylinder + curved surface area of cone + area of (upper) circular base of cylinder

$= 120\pi {cm}^{2} + 65\pi {cm }^{2} + 25 \pi {cm}^{2} \\ = 210 \times 3.14 {cm}^{2} = 659.4 {cm}^{2}$

<h3>Hope it helps you!!</h3>

6 0

2 years ago

Explain why the equation 5z + 2 = 5z has no solution.

suter [353]

$5z + 2 = 5z \\ 5z - 5z = - 2 \\ 0 = - 2$

Answer : This is because when 5z minus 5z, it is nullified, with no way to determine the value of z. 5z - 5z = 0
That is why there is no solution for this equation.

Hope this helps. - M

5 0

3 years ago

X^4 - 4x^4 - 6y^3 - 2x^4<br><br>Help !!

Afina-wow [57]

6x^-12 - 6y^3 ... I think

6 0

3 years ago

Read 2 more answers

Kamil invests 9000 for 4 years his investment pays compound interest of x% per anumn

elena-s [515]

To get the Total amount upon investment for the compound interest, plug in the value of x into the given expression bellow

Given data

Principal = $9000

Time = 4 years

Rate = x% per annum

<h3>Solution</h3>

Step one:

First, convert R as a percent to r as a decimal

r = x/100

Step two:

Then solve the equation for A

A = P(1 + x/100)^t

A = 9,000.00(1 + x/100)^(4)

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $9,000.00 at a rate of x% per year.

Learn more about compound interest here:

brainly.com/question/24924853

6 0

2 years ago

How do I solve this?

Furkat [3]

Answer:

Step-by-step explanation:

8 0

3 years ago