Asked by Ayan
math forms for construction are made of cement like the one shown. this one has a hollow cylindrical center. what is the total volume of the form? use 3.14 as an approximation for pi. round answer to nearest tenth.
Diameter for cylinder is 0.5 ft
Width for cube is 1 ft
Length for cube is 1.5 ft
Height is unknown but a lone crosses diagonally across the cube which is 2 ft
Diameter for cylinder is 0.5 ft
Width for cube is 1 ft
Length for cube is 1.5 ft
Height is unknown but a lone crosses diagonally across the cube which is 2 ft
Answers
Answered by
Steve
just plug the numbers into your volume formulas.
The square-ish part cannot be a cube, since the sides differ in length. Must be a rectangular prism.
You don't say which side has the diagonal line, but using the Pythagorean theorem to find h,
if it is on the 1" side, then
1^2 + h^2 = 2^2
If it is on the 1.5" side, then
1.5^2 + h^2 = 2^2
Now take a stab at it.
The square-ish part cannot be a cube, since the sides differ in length. Must be a rectangular prism.
You don't say which side has the diagonal line, but using the Pythagorean theorem to find h,
if it is on the 1" side, then
1^2 + h^2 = 2^2
If it is on the 1.5" side, then
1.5^2 + h^2 = 2^2
Now take a stab at it.
Answered by
Ayan
No the front side has the diagonal side and it is 2 ft and thank u
Answered by
Steve
no problem.
Of course, telling me the front side has the line does not help, since I cannot see which face is the front.
Of course, telling me the front side has the line does not help, since I cannot see which face is the front.
Answered by
Ayan
How would u find the area of base for the cylinder, how would u find the volume of cylinder
Diameter is 0.5
???
Diameter is 0.5
???
Answered by
Ayan
Where should I use pi in here, I don't get it can u please show me how to do it
Answered by
Steve
the area of the base with diameter d is
π/4 d^2 = π/4 * .5^2 = π/16
the volume is just base * height
better review your formulas. Here's a good reference:
http://www.regentsprep.org/regents/math/algebra/as2/solids.htm
if you still have questions, or just want to explore, remember that google is your friend.
wikipedia also has a good table with lots of solids and their properties.
π/4 d^2 = π/4 * .5^2 = π/16
the volume is just base * height
better review your formulas. Here's a good reference:
http://www.regentsprep.org/regents/math/algebra/as2/solids.htm
if you still have questions, or just want to explore, remember that google is your friend.
wikipedia also has a good table with lots of solids and their properties.
Answered by
Ayan
For the answer of the cylinder I got
V=2.0724 ft
Then added them together
2.0724+1.98= 4.054ft
Is that the right answer
V=2.0724 ft
Then added them together
2.0724+1.98= 4.054ft
Is that the right answer
Answered by
Ayan
Can you also help me with another one, it has a cone on top of a cylinder
The cones slant height is 6in
The cones length(radius) is 4 in
The cones height is not known
The cylinders height is 7 in
The cylinders length(radius) is also 4 in
The radius is half of the cylinder, cone
I don't know what to do, I need to find the total volume of the model
The cones slant height is 6in
The cones length(radius) is 4 in
The cones height is not known
The cylinders height is 7 in
The cylinders length(radius) is also 4 in
The radius is half of the cylinder, cone
I don't know what to do, I need to find the total volume of the model
Answered by
Steve
for the cone, the slant height s and the height h and the radius r obey
s^2 = r^2+h^2
so, the height is √20=2√5
cone volume is 1/3 πr^2h = 32√5 π/3
cylinder volume is πr^2h = 102π
so add them up
s^2 = r^2+h^2
so, the height is √20=2√5
cone volume is 1/3 πr^2h = 32√5 π/3
cylinder volume is πr^2h = 102π
so add them up
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