Each cube represents 1 cubic inch. What is the volume if the prism?
1 answer:
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Answer:
:1
Step-by-step explanation:
Ratio of height of two cylinders are 3:1
Let C2 has the height x
then height of C1 is 3x
Let r1 is the radius of C1
and r2 is the radius of C2
As given that volume of both are equal
Also we know that formula for the volume of the cylinder is
V= π r²h
for C1
V= π (r1)²h
for C2
V=π (r2)²h
As volume of both are same so equating them
π (r1)²h1 = π (r2)²h2
as h1 =3x and h2=x
putting values
π (r1)²(3x) = π (r2)²(x)
cancelling out π and x from both side of the equation
3(r1)²= (r2)²
Taking square root of both sides give
r1 ( ) = r2
or
r1 : r2 = :1
Answer:
131.88 cm²
Step-by-step explanation:
The surface area of a cylinder is 2πr² + 2πrh
Since the figure we are dealing here is a quarter of a cylinder, divide the equation by 4.
New equation =
We know:
r = 6 cm
h = 8 cm
Now substitute the values and solve:
= 131.88 cm²