The volume of a hemisphere is 144 pi. Find the radius and total surface area.

Answers

Answer 1

Answer: Formula of the Volume of a hemisphere:
V = $(2)/(3)$ $\pi$ r³
144 $\pi$ = $(2)/(3)$ $\pi$ r³
Multiply by 3 to cancel fraction in the right side
144 $\pi$ × 3 = 2 $\pi$ r³
432 $\pi$ = 2 $\pi$ r³
Divide by 2 $\pi$ on either sides to isolate r³
$(432 \pi )/(2 \pi )$ = $(2 \pi )/(2 \pi )$ r³
2 $\pi$ and $2 \pi$ cancel out
216 = r³
Take cube root to find the radius
$\sqrt[3]{216}$ = $\sqrt[3]{r^3}$
6 = r
Radius is 6 units

The formula of the surface area of a hemisphere is:
S.A = 2 $\pi$ r² + $\pi$ r²
= $2\pi$ (6)² + $\pi$ (6)²
=2 $\pi$ × 36 + 36 $\pi$
= 72 $\pi$ + 36 $\pi$
= 108 $\pi$ units² (in terms of $\pi$ )
≈ 339.12 units²

Surface area = 108 $\pi$ units

Related Questions

Which expression is not a polynomial?11p - 7q8xy^4 - 5x^3y2 - x-4/y
Given the following system of equations, identify the type of system.x + 2y = 63x + 6y= -9A. ConsistentB. InconsistentC. Equivalent
Can anyone help me i appreciate!!!!
Whats the integral of 1/X
0.001 in Standard form

Daniel has $13.58 in his bank account from interest earned. Kenneth has an account that earns 3 times as much interest, in dollars, as Daniel. How much does Kenneth have in his bank account from interest?

Answers

Answer:

$40.74

Step-by-step explanation:

Daniel's bank account interest is $13.58.

Kenneth's bank account interest is 3 times that of Daniel's account interest.

Hence the amount of interest in Kenneth's account shall be = 3 × $13.58

= $40.74

I don’t know if this is correct. Please help !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

The figures are congruent, so all you need do is pick 1 point from each figure and tell what it does. I'm going to go from Figure J to figure K

I will pick the point (-4,8) on J. It is the furthest point upwards.

Where is that same point on K? It is at (2,4)

So what happened?

You've moved from -4 to 2 on the x value.

You've moved from 8 to 4 on the y value

You moved right (-4 to 2) = 6 units and

down (8 - 4) = 4 units

What would happen if you went from K to J

This time you have moved 6 units left and 4 units up.

Answer:

a translation left 6 units and up 4 units

Name the pair of angle, Find the measure of angle b

Answers

Answer:

b=34

Step-by-step explanation:

<a(340 corresponds to <b

The seventh term of an arithmetic sequence is 21, the tenth term is 126. The first term is

Answers

Hi,
$a_(10)=a_0+10*r\na_7=a_0+7*r\na_(10)-a_7=3\ \Rightarrow 126-21=3r\ \Rightarrow r=35\na_7=a_0+7*r\ \Rightarrow 21=a_0+7*35\n\Rightarrow a_0=-224\n\Rightarrow a_1=-224+35\n\boxed{a_1=-189}$

A fishing tackle box is 13 inches long, 6 inches wide, and 2 1/2 inches high. What is the volume of the tackle box?

Answers

Figuring out volume is simple! There is a formula! It is Length x Width x Height.
V=LxWxH
V=13x6x2.5
V=195in3

The volume is 195in3

4. Nick deposited $4,000 in a 4 year CD account that pays 4.18% interest, compoundedweekly. What is the ending balance?

Answer-

Answers

Answer:

The balance in Nick's CD account after 4 years would be approximately $4,702.79.

Step-by-step explanation:

To calculate the ending balance of Nick's CD account, you can use the compound interest formula:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment/ending balance

P = the principal amount (initial deposit) = $4,000

r = the annual interest rate (in decimal form) = 4.18% or 0.0418

n = the number of times that interest is compounded per year = 52 (weekly compounding)

t = the number of years the money is invested for = 4 years

Now, plug these values into the formula and calculate:

A = 4000(1 + 0.0418/52)^(52*4)

A = 4000(1 + 0.00080384615)^(208)

A ≈ 4000(1.00080384615)^208

A ≈ 4000 * 1.17569743

A ≈ $4,702.79

Other Questions

Compare the mean and standard deviation of Set A and Set B.Set A: 7, 3, 4, 9, 2Set B: 5, 8, 7, 6, 4

Which line has a slope of 1/2 and goes through the point (2,4)?

What is the solution to the following equation? 5x + 7x = 60

1. Write a function rule for finding the amount of daily pay, p, in the following situation: A bus drivergets paid $100 each day plus $0.20 per kilometer, k. (1 point)100 = 0.20 × kp = 0.20 × 100 × kp = 0.20k + 1000.20k = 100 + pUse the table below to answer the following question.2. Do the values in the table represent a linear function? If so, what is the function rule?(1 point)The values do not show a linear function.Yes, the values show a linear function: y = x + 4.Yes, the values show a linear function: y = 2x + 2.Yes, the values show a linear function: y = 2x.Use the following graph to answer the question.3. Write an equation for the line shown in the graph.(1 point)2/20/2015 Writing Rules for Linear Functionshttps://www.connexus.com/content/render.aspx?disableAssessment=true&printpreview=true&printpopup=true&idSection=504591&idCourse=31343&idWebus… 2/210 = 4xy = 2x + 10y = 10x – 2y = –x + 10Write a function rule for the total cost.4. One frozen yogurt store sells frozen yogurt for $3.00 per cup and $1.25 per topping. Write a linearequation to show the total cost of a cup of frozen yogurt. Then calculate the total price for one cup offrozen yogurt with 4 toppings. (1 point)y = 1.25x + 3; $5.00y = 3x + 1.25; $13.25y = 1.25x + 3; $8.00y = 5x + 3; $8.00