1) The sculptor created a marble basin with an approximate volume of 94,509.6 cubic centimeters - Option D, 2) The approximate area of the heart-shaped cake is 283 square inches - Option B, 3) The length of the wooden frame around the window is 94.3 inches - Option B.
In this question we should make use of geometric formulas for volumes and areas and key information from statement in order to find the right choices.
1) In this case, the volume occupied by the marble water basin (
), in cubic centimeters, by subtracting the volume of the hemisphere from the volume of the cylinder:
(1)
Where:
- Radius of the cylinder, in centimeters.
- Height of the cylinder, in centimeters.
- Radius of the cylinder, in centimeters.
If we know that 
, 
and 
, then the volume of the marble is:
The right choice is D.
2) To determine the approximate surface area of the cake covered in red frosting (
), in square inches, we need to find the sum of the surface area of the entire circle and the surface area of the square:
(2)
Where:
- Side length of the square, in inches.- - Height of the cakes, in inches.
- Diameter of the cakes, in inches.
If we know that 
, 
and 
, then the <em>approximate</em> area covered in red frosting:
The right choice is B.
3) The frame around the window is found by means of the following perimeter formula (
), in inches:
(3)
Where:
- - Radius, in inches.
- - Height of the rectangle, in inches.
If we know that 
and 
, then the length of the frame around the window is:
The right choice is B.
We kindly invite to see question on volumes: brainly.com/question/1578538
<u>Answer:</u>
The correct answer option is b) 
.
<u>Step-by-step explanation:</u>
We are given that the first urn contains 7 white balls and 7 yellow balls and the second urn contains 3 white balls and 6 yellow balls. We are to find the probability that both balls drawn are white.
This means that the first must be white and the second ball must also be white.
P (w, w) = 
× 
=
Therefore, the probability that both the balls drawn are white is 1/6.
Answer:
a negative and a positive
Step-by-step explanation:
always equal a negative
and she put x next to 31.7 when x was not meant to be there
Volume=length times width times height
this should be easy
a.
the volume of a box is 2.5 times 1 times 1 or 2.5 cubic meters
b.
number of boxes times volume per box=volume of container
number of boxes=volumecontainer/volumebox
find volumecontianer
volumecontainer=5 times 2 times 3=30 cubic meters
number of boxes=30/2.5
number of boxes=12
12 boxes needed to fill container
c.
box
1m=100cm
1m by 1m by 2.5m convert so (times everybody by 100)
100cm by 100cm by 250cm
multiply
2,500,000 cubic centimeters
Answer:
4 widgets
Step-by-step explanation:
8÷2=4
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