What is the diameter of a hemisphere with a volume of 651 m^3, to the nearest tenth of a meter?

A spherical scoop of ice cream is placed on top of a hollow ice cream cone. the scoop and cone have the same radius. the ice cre

noname [10]

The figure shown below illustrates the problem.

The volume of the empty cone is
V₁ = (1/3) π r²h

The volume of the sphere is
V₂ = (4/3) π r³

Because the melted ice cream completely fills the cone, therefore
V₁ = V₂
(1/3) π r² h = (4/3) π r³
Divide each side by (1/3) π r².
h = 4r

Answer:
The height of the cone is 4 times greater than the radius f the cone.

5 0

2 years ago

a hatchling turtle has a shell with a 1-inch diameter. the shell keeps a similar shape as the turtle grows. compare the volume a

earnstyle [38]

Answer would be 4 multiple

5 0

2 years ago

You invested a total of $12,000 at 4.5 percent and 5 percent simple interest. During one year, the two accounts earned $570. How

Luda [366]

Answer: You invested $6000 in both accounts.

Step-by-step explanation:

Let x represent the amount invested in the account earning 4.5% interest.

Let y represent the amount invested in the account earning 5% interest.

You invested a total of $12,000 at 4.5 percent and 5 percent simple interest. This means that

x + y = 12000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Considering the account earning 4.5%

I = (x × 4.5 × 1)/100 = 0.045x

Considering the account earning 5%

I = (y × 5 × 1)/100 = 0.05y

During one year, the two accounts earned $570. . This means that

0.045x + 0.05y = 570 - - - - - - - - - - 1

Substituting x = 12000 - y into equation 1, it becomes

0.045(12000 - y) + 0.05y = 570

540 - 0.045y + 0.05y = 570

- 0.045y + 0.05y = 570 - 540

0.005y = 30

y = 30/0.005 = 6000

x = 12000 - y = 12000 - 6000

x = $6000

6 0

2 years ago

The equation y = negative StartFraction 1 Over 20 EndFraction x + 10 represents the gallons of gasoline that remain in Michelle’

Andrej [43]

Answer:

y= -intercept = 10

Step-by-step explanation:

8 0

2 years ago

Tyler is bored in history class, so he is staring at the ceiling tiles. He notices that some tiles are perfect squares, while ot

finlep [7]

Answer:

The complete tables are shown below.

The value of x is 70.59%.

Step-by-step explanation:

Absolute frequency table:

Square Rectangle Row Total

Bright 25 10 35

Off White 23 10 33

Column Total 48 20 68

Relative frequency table

Square Rectangle Row total

Row% 71.43% 28.57% 100.00%

Bright Column% 52.08% 50.00% ____

Total% 36.76% 14.71% 51.47%

Row% 69.70% 30.30% 100.00%

Off White Column% 47.92% 50.00% ___

Total% 33.83% 14.71% 48.53%

Row% ____ ____ 100.00%

Column Column% 100.00% 100.00% 100.00%

Total% x = 70.59% 29.41% 100.00%

$\text{Value of}\ x=100.00\%-29.41\%=70.59\%$

8 0

2 years ago