All categories

3 years ago

A fruit bowl is shaped like half of a sphere. The radius of the bowl is 15 cm. What is the volume of the bowl?

Mathematics

1 answer:

Delicious77 [7]3 years ago

5 0

Answer:

(4500(Pi))/2 or 7068.585

Step-by-step explanation:

r = 15 cm

volume of a sphere:

(4/3)(Pi)r^3

Therefore:

(4/3)(Pi)15^3

15^3 = 3375

4/3 * 3375 = 4500

and since it is half a sphere (it is a bowl) the answer would be divided by two:

4500(Pi) divided by 2

14137.17 divided by 2

You might be interested in

<img src="https://tex.z-dn.net/?f=%5Clarge%5Csf%5Cfbox%5Cred%7BQuestion%3A-%7D" id="TexFormula1" title="\large\sf\fbox\red{Quest

tamaranim1 [39]

Answer:

The function is injective but nor surjective

Step-by-step explanation:

We see that:

f(x) = x³

For any x₁ and x₂ ∈ N,

f(x) = x₁³ = x₂³ ⇒ x₁ = x₂, both are natural numbers

It it confirmed one-to-one, hence it is injective

Check the surjectivity:

f(x) = y ∈ N

x³ = y
y = ∛x

Let y = 2, then:

2 = x³
x = ∛2 ∉ N

Since x is not natural, the function is not surjective

6 0

2 years ago

Read 2 more answers

Niles and Bob sailed at the same time for the same length of time. Niles' sailboat traveled 36 miles at a speed of 6 mph, while

kykrilka [37]

Answer:

Niles and Bob were traveling for 6 hours.

Step-by-step explanation:

The speed or rate at which an object is moving can be computed using the formula:

$s=\frac{d}{t}$

Here:

s = speed

d = distance traveled

t = time taken

It is provided that Niles and Bob sailed at the same time for the same length of time.

Speed of Niles sailboat is, s₁ = 6 mph.

Distance traveled by Niles' sailboat is, d₁ = 36 miles.

Speed of Bob's sailboat is, s₂ = 16 mph.

Distance traveled by Bob's sailboat is, d₂ = 96 miles.

It took both Niles and Bob the same time to travel the respective distance.

Compute the time it took Niles to travel 36 miles at 6 mph speed as follows:

$t_{1}=\frac{d_{1}}{s_{1}}$

$=\frac{36}{6}\\=6$

It took Niles 6 hours to travel 36 miles at 6 mph speed.

Compute the time it took Bob to travel 96 miles at 16 mph speed as follows:

$t_{2}=\frac{d_{2}}{s_{2}}$

$=\frac{96}{16}\\=6$

It took Bob 6 hours to travel 96 miles at 16 mph speed.

Thus, Niles and Bob were traveling for 6 hours.

7 0

4 years ago

BRAINLIEST!!PLEASE HELP ME!!

pishuonlain [190]

Answer:

Step-by-step explanation:

The truck's fuel consumption is:

660 miles

---------------- = 7.33 miles per gallon.

90 gallons

Draw a set of coordinate axes, with # of gallons on the horiz. axis and distance traveled on the vertical axis. Place a black dot at (0,0). Starting at (0,0), draw in scale divisions that can accommodate 0-100 gallons. Mark scale divisions on the vertical axis such that the maximum distance traveled is 800 miles. Now draw a vertical line through 90 gallons and a horizontal line through 660 miles. Draw a black dot where these two lines intersect. Now draw a straight line through (0,0) and (90,660). These two points are your intercepts, horiz. first and vert. second.

The domain is the set of numbers on the horiz. axis for which you have a graph (meaning that your function is defined). Here your domain is

[0,90] gallons. No function is defined for less than 0 gallons or more than 90 gallons.

The origin represents no fuel yet consumed and no distance yet traveled.

8 0

4 years ago

An old road was 3.95 miles long. After a renovation it was 3.81 times as long. How long was the road after the renovation?

guapka [62]

3.95 × 3.81 = 15.0485

The road was 15.0485 miles long after the renovation.

Hope this helps!

4 0

3 years ago

Please help ASAP!!! Will give brainlyest!!!! Lots of points!

ruslelena [56]

Answer:

dilation..

Step-by-step explanation:

nop nopnop nop

4 0

3 years ago