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3 years ago

I need help! Number 7 pls

Mathematics

1 answer:

Ronch [10]3 years ago

3 0

I think that it's 54.6

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3. A balancing balloon toy is in the shape of a hemisphere (half-sphere) attached to the base of a cone. If the toy is 4ft tall

Katen [24]

Answer:

The volume of the toy is $V=5.23\ ft^3$

Step-by-step explanation:

step 1

Find the volume of the hemisphere

The volume of the hemisphere is given by the formula

$V=\frac{2}{3}\pi r^{3}$

In this problem, the wide of the toy is equal to the diameter of the hemisphere

$D=2\ ft$

$r=2/2=1\ ft$ ----> the radius is half the diameter

substitute

$V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3$

step 2

Find the volume of the cone

The volume of the cone is given by

$V=\frac{1}{3}\pi r^{2}h$

we know that

The radius of the cone is the same that the radius of the hemisphere

$r=1\ ft$

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

$h=4-1=3\ ft$

substitute the given values

$V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3$

step 3

Find the volume of the toy

we know that

The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

$V=(\frac{2}{3} \pi+\pi)\ ft^3$

$V=(\frac{5}{3}\pi)\ ft^3$

assume

$\pi=3.14$

$V=\frac{5}{3}(3.14)=5.23\ ft^3$

5 0

4 years ago

Five less than half of a number in a equation

Sholpan [36]

It would be .5x-5= because it says 5 less so it would be subtract 5 from half of x.

7 0

3 years ago

Five less than three times a number

Radda [10]

That would turn into 3x-5

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3 years ago

2n - n+5=3 help please

Doss [256]

n=-2 i got this answer because i combined like terms first like 2n-n

we get just n after

and then, we subtract the 5 from both sides to get it on the opposite side of the equal sign.. we get x=-2

5 0

3 years ago

Fifteen gallons of gasoline can be represented by the coordinates (15,40.8) true or false

sineoko [7]

Answer:

false?

Step-by-step explanation:

4 0

4 years ago