Answer:
72 spheres are formed
Step-by-step explanation:
We start by calculating the volume of the metallic cylinder
Mathematically, we have this as;
V = pi * r^2 * h
V = pi * 21 * 14^2
V = 4116 π cm^3
The volume of each small sphere is;
V = 4/3 * pi * r^3
= 4/3 * π * 7/2^3 = 57.167 π cm^3
To get the number of small spheres, we simply divide the volumes
That will be 4116 pi / 57.167 pi = 72
Answer:
1/34
Step-by-step explanation:
9-3= 6
(4+2x12+6)=34
6/34= 3/17 which is .1764......
3/17 divide by (2x3)= 1/34
1) A = π r² = 22/7 x 10² = 314.28 in²
2)A = π r² = 22/7 x 9² = 254.57 mm²
3) radius = 1/2 diameter
r = 1/2 x 3 = 1.5 in
A = π r² = 22/7 x 1.5² = 7.07 in²
4)A = π r² = 22/7 x 14² =616 cm²
5) radius = 1/2 diameter
r = 1/2 x 1.5 = 0.75 ft
A = π r² = 22/7 x 0.75² = 1.76 ft²
I wrote down the answer cuz it’s just easier to read that way:)
The measure of the sides is 27, 23 and 16 and the perimeter is 56 respectively
<h3>The perimeter of a triangle</h3>
The triangle is a 2 dimensional shape that has 2 sides.
Given the following sides
l = m + n - 12
n = m - 7
m = l - 1/4n
l = m + 1/4n
Substitute
m + 1/4n = m + m - 7 - 12
m + 1/4(m-7) = 2m - 19
m + 1/4m - 7/4 = 2m - 19
-m + 1/4m = -19 + 7/4
-3/4m = -19(4)+7/4
-3/4m = -69/4
-3m = -69
m = 23
Hence the value of m from the given expression is 23
n = 23 - 7
n = 16
l = 23 + 16 -12
l = 39 - 12
l = 27
n = 23 - 7
n = 16
Hence the measure of the sides is 27, 23 and 16 respectively
Perimeter = 27+23+16
Perimeter = 56
Learn more on perimeter of triangle here: brainly.com/question/24382052
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