Please help me out on all of these !! Thank you

Hi! Please help, I'd appreciate it!

Romashka-Z-Leto [24]

The volume of sphere is $\frac{1372}{3}\pi$ feet cubed.

Step-by-step explanation:

Given,

Surface area of sphere = 196π square feet

Surface area of sphere = 4πr²

We will find radius of sphere.

$4\pi r^2=196\pi$

Dividing both sides by 4π

$\frac{4\pi r^2}{4\pi}=\frac{196\pi}{4\pi}\\\\r^2=49$

Taking square root on both sides

$\sqrt{r^2}=\sqrt{49}\\r=7$

The radius is 7 feet.

Volume of sphere = $\frac{4}{3}\pi r^3$

$Volume=\frac{4}{3}\pi (7)^3\\\\Volume= \frac{4}{3}\pi *343\\\\Volume = \frac{1372}{3}\pi$

The volume of sphere is $\frac{1372}{3}\pi$ feet cubed.

Keywords: volume, surface area

Learn more about surface area at:

#LearnwithBrainly

3 0

2 years ago

The record for the most rolls of wrapping paper sold for the school fundraiser is 593. Let w be the number of rolls of wrapping

astra-53 [7]

Answer:

w ≤ 593

Step-by-step explanation:

Missing option;

w ≥ 593

w > 593

w ≤ 593

593 < w

Explanation:

w ≥ 593 No

Number of wrapping paper sold never be more than 593.

w > 593 no

Number of wrapping paper sold never be more than 593.

w ≤ 593 yes

Number of wrapping paper sold will be equal or less than 593.

5 0

2 years ago

Lucas and Tayvan can paint a house in 1 hour working together. If Tayvan works alone, he can paint the house in 1.5 hours. How l

nikitadnepr [17]

Answer:

1 hour

Step-by-step explanation:

no explanation its common sense lol

7 0

2 years ago

100 POINTS IF U GET THIS RIGHT!

ANTONII [103]

$\begin{gathered}\\ \sf\longmapsto Area\:of\:rectangle=Length×Breadth\end{gathered}$

Length= 13.8 ft
Breadth= 11.9 ft

$\begin{gathered}\\ \sf\longmapsto Area=13.8×11.9\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto ⚘Area=164.22ft^{2}\end{gathered}$

3 0

2 years ago

Read 2 more answers

Anna starts a fixed deposit with $178000, the bank offers 9.5% per year simple interest for 8 months. she has the option of rest

soldier1979 [14.2K]

Using simple interest, we have that:

A) The interest due after 8 months is $11,272.33.

B) The total value of the investment will be of $189,986.24.

The amount of interest earning using <em>simple interest</em>, after <u>t years</u>, with an <u>yearly interest rate of i</u> and an <u>initial investment of P</u> is given by:

$E = Pit$

In this problem:

Deposit of $178,000, hence $P = 178000$ .
Interest rate of 9.5% per year, hence $i = 0.095$ .
8 months, the time is in years, hence $t = \frac{8}{12} = \frac{2}{3}$

Item a:

$E = Pit$

$E = 178000(0.095)\frac{2}{3} = 11272.33$

The interest due after 8 months is $11,272.33.

Item b:

For the second interest, we consider $P = 11272.33$ , hence:

$E_2 = Pit$

$E_2 = 11272.33(0.095)\frac{2}{3} = 713.91$

The total value will be composed by:

The initial deposit of $178,000.
The first interest of $11,272.33.
The second interest of $713,91.

Hence, it will be:

$T = 178000 + 11272.33 + 713.91 = 189986.24$

The total value of the investment will be of $189,986.24.

A similar problem is given at brainly.com/question/13176347

3 0

1 year ago