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Surface Areas and Volumes
Surface Area of Right Circular Cylinders and Cones
A cylindrical container wit...
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Asked on December 20, 2019 by
Ziya Vïvəķ
A cylindrical container with diameter of base 56cm contains sufficient water to submerge a rectangular solid of iron with dimensions (32×22cm×14cm). Find the rise in the level of water when the solid is completely submerged.
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ANSWER
Given,
Diameter of the base of the cylindrical container d=56 cm
Hence, radius of the base of the cylindrical container r=
2
56
=28 cm
Dimensions of rectangular solid is (32 cm×22 cm×14 cm)
We know that when a body is completely submerged in a container containing water,
the rise in the volume of water in the container is equal to the volume of the body.
Let, the water rises to a height h.
Hence,
Volume of water rises in cylindrical container =Volume of the rectangular solid
πr
2
h=32×22×14 cm
3
7
22
×(28)
2
×h=9856 cm
h=
22×784
9856×7
cm
h=4 cm
Answer:
A(2,1) , B(-3,2) , C(-1,6)
Step-by-step explanation:
A translation of 2 units up means the y values will be shifted up 2 units
A (2,-1) -> A(2,1)
B (-3,0) -> B(-3,2)
C (-1,4) -> C(-1,6)
Answer:
<h2>120 square meters</h2>
Step-by-step explanation:
To find the SA of 2 Triangles, we will use the formula... B x H, and the Base and Height is going to be the dimensions of just 1 triangle, but it's going to give the answer for 2 triangles, in this shape, we have 2 triangles.
SA = B x H
= 6 x 4
= 24
24 square meters for both of the triangles
Now, let's find the SA of the rectangle on the bottom...
SA = L x W
= 6 x 6
= 36
36 square meters for 1 of the 3 rectangular parts, the one on the bottom
Now, lets find the SA of the 2 rectangles on the top. We'll use the dimensions of 1 rectangle and find the answer for 2 answers by using the formula...
SA = L x W x 2
= 6 x 5 x 2
= 30 x 2
= 60
60 square meters for the 2 rectangles on the top.
Now, we have to add all of our answers.
24 + 36 + 60 = 120 square meters
<h2>
Hence, the SA (surface area) of this shape is 120 square meters.</h2>
~Brainly Master - Helping Students~
Answer:
39+4x
Step-by-step explanation:
Since two opposites add up to zero, remove them from the expression
2x3-5x+2+4x2+6x-2x+7x5
Calculate the sum or difference
39+6x-2x
It depends on how many points the test is!
