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A summary is a condensed version of a text that captures the main points and key ideas.
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The volume of a tree stump can be modeled by considering it as a right cylinder. Lillian measures its height as 1.1 ft and its radius as 22 in. Find the volume of the stump in cubic inches. Round your answer to the nearest tenth if necessary.
First, we need to convert the height and radius to the same units. Let's convert the radius to feet:
22 in = 22/12 ft = 1.8333 ft (rounded to four decimal places)
Now we can use the formula for the volume of a right circular cylinder:
V = πr^2h
where V is the volume, r is the radius, and h is the height.
Plugging in the values we have:
V = π(1.8333)^2(1.1)
V ≈ 11.845 cubic feet
To convert cubic feet to cubic inches, we need to multiply by (12 inches/1 foot)^3 to get:
V = 11.845 x (12)^3 cubic inches
V ≈ 2,561.4 cubic inches (rounded to the nearest tenth)
Therefore, the volume of the tree stump in cubic inches is approximately 2,561.4 cubic inches.
The volume of a tree stump can be modeled by considering it as a right cylinder. Makayla measures its height as 1.3 ft and its radius as 6 in. Find the volume of the stump in cubic inches. Round your answer to the nearest tenth if necessary.
First, let's convert the radius to feet:
6 in = 6/12 ft = 0.5 ft
Now we can use the formula for the volume of a right circular cylinder:
V = πr^2h
where V is the volume, r is the radius, and h is the height.
Plugging in the values we have:
V = π(0.5)^2(1.3)
V ≈ 0.845 cubic feet
To convert cubic feet to cubic inches, we need to multiply by (12 inches/1 foot)^3 to get:
V = 0.845 x (12)^3 cubic inches
V ≈ 1,454.1 cubic inches (rounded to the nearest tenth)
Therefore, the volume of the tree stump in cubic inches is approximately 1,454.1 cubic inches.
The diameter of a circle is 13 in. Find the circumference
to
the
nearest
tenth
to the nearest tenth.
The circumference of a circle is found by multiplying the diameter by π (pi), which is approximately 3.14159.
So, if the diameter of the circle is 13 inches, then the circumference is:
C = πd
C = 3.14159 x 13
C ≈ 40.8407
Rounding this to one decimal place gives:
C ≈ 40.8
Therefore, the circumference of the circle, to the nearest tenth, is approximately 40.8 inches.
The circumference of a circle is 14
π m. Find its diameter, in meters.