The volume of the remaining material once the hole has been drilled to the nearest cubic millimeter is 3010mm³.
<h3>What is a cylinder and a square prism?</h3>
A square prism is simply a 3-dimensional shape figure with square bases and the other four faces are rectangular in shape.
The volume of a square prism is expressed as;
V = a²h
A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Given the data in the question and image below.
For the square prism;
For the cylinder;
- Radius r = diameter/2 = 20mm/2 = 10mm
- Height h = 35mm
- Constant pi π = 3.14
Now, the volume of tthe remaining material once the hole has been drilled will be;
V = Volume of the square prism - volume of the cylinderical hole
V = ( a² × h ) - ( π × r² × h)
V = ( (20mm)² × 35mm ) - ( 3.14 × (10mm)² × 35mm)
V = 14000mm³ - 10990mm³
V = 3010mm³
Therefore, the volume of the remaining material once the hole has been drilled to the nearest cubic millimeter is 3010mm³.
Learn more on volume of cylinder here: brainly.com/question/16788902
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<u>Ms. Amani:</u>
7 pencil cases
9 packs of folders
<u>Mr. Blake</u>
9 boxes of crayons
<u>Prices:
</u>Pencil case: $3
Box of crayons: $4
Pack of folders: $2
<u>
Ms Amani
</u>7 x 3= 21
9 x 2 = 18
21+18= $39
<u>Mr. Blake</u>
9 x 4= $36
39-36 = $3 difference.
<u>
</u>
Answer:
1/4a+3/4b
Step-by-step explanation:
OP=OA+AP
OA=a
AP=3/4AB
AB=-a+b
thus AP=3/4(-a+b) which is-3/4a+3/4b
OP=a-3/4a+3/4b thus 1/4a+3/4b
Answer:
(a) t_n = 3n - 9
(b) t_16 = 39
Step-by-step explanation:
(a)
-3 - (-6) = -3 + 6 = 3
The common difference is 3.
t_1 = -6
t_2 = -6 + 3
t_3 = -6 + 3 + 3
t_4 = -6 + 3 + 3 + 3
t_n = -6 + 3(n - 1)
t_n = -6 + 3n - 3
t_n = -9 + 3n
t_n = 3n - 9
The formula is: t_n = 3n - 9
(b) t_16 = 3(16) - 9 = 48 - 9 = 39
