1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Korvikt [17]
2 years ago
12

BRILLIANT Q

Mathematics
1 answer:
Sholpan [36]2 years ago
7 0

Answer:

The problem is all about volumes.

The volume of a hemisphere is defined as

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

According to the problem

d_{outside}=44.6cm

d_{inside}=41.6cm

Using the definition of radius

r_{outside}=\frac{44.6cm}{2}=22.3cm

r_{inside}=\frac{41.6cm}{2}=20.8cm

Now, the volume of the inside bowl is

V_{inside}=\frac{2}{3}\pi(20.8cm) ^{3} \approx 5999.27 (3.14) \ cm^{3} \approx 18837.71 \ cm^{3}

Therefore, the bowl can have 18,837.71 cubic centimeters of soup. (A)

The volume of the clay needed can be found with the differnece between hemispheres.

V_{clay}=V_{outside}  -V_{outside}

V_{clay}=\frac{2}{3}(3.14)(22.3cm)^{3}-18837.71cm^{3}=    23214.16 cm^{3}-18837.71cm^{3}=  4376.45 \ cm^{3}

Therefore, we needed 4376.45 cubic centimeters of clay to make a single bowl. (B)

At last, the space that a single bowl occupies in the box is

V_{outside}=23214.16 \ cm^{3}

If we have 6 bowls, the total volume is

V_{total}=6(23214.16 \ cm^{3} )= 139284.96 \ cm^{3}

Now, we need to find the volume of the box

V_{box}=22.5cm \times 90cm \times 135 cm =  273375cm^{3}

The empty space between the box and the 6 bowls is

V_{sawdust}=V_{box} - V_{total}=273375 cm^{3}-139284.96 cm^{3} =134090.04cm^{3}

This empty space volume represents the sawdust packing needed, because the function of it is to fill the empty space.

Therefore, we need 134090.04 cubic centimeters of sawdust packing. (C)

You might be interested in
A spacecraft travels at a speed of 5 x 10^4 miles per day. How long will it travel in 1.5 x 10^2 days?
Dimas [21]

Answer:

7.5 \times 10^6 miles

Step-by-step explanation:

(5\times 10^4)\times (1.5 \times 10^2)=\\(5\times 1.5) \times (10^4 \times 10^2)=\\7.5 \times 10^6

Hope this helps!

6 0
3 years ago
In a large apartment building, 35 of the apartments have a balcony and 55 do not. An apartment us randomly selected as part of a
Vadim26 [7]

11/18 probability

90 apartments total

35/90=

11/18

4 0
3 years ago
What is −1 2/3⋅(−5 1/4)?
frez [133]

Answer:

-  35/4 its the answer from a exact from

Step-by-step explanation:

3 0
1 year ago
What is the volume of a sphere if it has a radius of 3 centimeters? (Use 3.14 for TT.)
snow_tiger [21]

Answer:

9.52

Step-by-step explanation:

4 0
2 years ago
Someone pls help asap this is due tmrw !!<br><br> x - 3y = -12<br> 2x + 3y = 3
hram777 [196]

Answer:

Step-by-step explanation:

to solve this system of equations we will add them

x-3y=-12

2x+3y=3 now +3y-3y=0

3x=-12+3

3x=-9

x=-3

plug in the first equation

-3-3y=-12

-3y=-12+3

-3y=-9

y=3

4 0
2 years ago
Other questions:
  • Mr. Carr paid $64 interest for a two-year loan at 8% simple interest
    14·1 answer
  • Which line segment is a reflection of AB in the x-axis
    13·1 answer
  • What is 7 to the power of 8 times seven to the power of -4
    9·2 answers
  • Solve the system of equations.
    7·1 answer
  • Which of the following equations have infinitely many solutions?
    10·1 answer
  • Is decagon obtuse acute or right angle
    6·2 answers
  • A triangular banner has an area 1500 square feet. Find the measures of the base and height of the triangle if the base is five-s
    13·1 answer
  • PLEASE HELP QUICK<br> Factor out the GCF of 14x4 + 21x2 + 28x
    14·1 answer
  • The sum of twice a number and 13 is 75.
    14·2 answers
  • 1) How do you find the sum of the exterior angle measures of any convex polygon?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!