The lateral area of a cone is 198.6 cm2. The diameter of the cone is 10.2 cm. Determine the height of the cone to the nearest tenth of a centimetre.
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Final answer:
To find the height of the cone, we can use the formula for the lateral area of a cone and the Pythagorean theorem. The height of the cone is approximately 11.3 cm.
Explanation:
To find the height of the cone, we need to use the formula for the lateral area of a cone, which is given by:
Lateral Area = πrL
where r is the radius of the base and L is the slant height of the cone. Since the diameter of the cone is 10.2 cm, the radius is half of that, which is 5.1 cm. We can rearrange the formula and solve for L:
L = Lateral Area / (πr) = 198.6 cm² / (3.14 x 5.1 cm) ≈ 12.4 cm
Now that we have the slant height, we can use the Pythagorean theorem to find the height of the cone. The height (h) and the slant height (L) form a right triangle with the radius (r) as the hypotenuse. Applying the Pythagorean theorem:
h² + r² = L² = h² + (5.1 cm)² = (12.4 cm)²
From this equation, we can solve for h:
h² = (12.4 cm)² - (5.1 cm)²
After evaluating this equation, we find that h ≈ 11.3 cm, so the height of the cone is approximately 11.3 cm to the nearest tenth of a centimetre.
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We need to round 45g to the nearest 10g's.
Look at the number in the one's place. If the number is greater than or equal to 5, round up. If the number is less than 5, round down.
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Now coming to solving the problem we get:
Total length of blue lake trail = 11 3/8 miles
= 91/8 miles
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Thank you!!
Answers
about baseball.
I know it's called a baseball "diamond", but is it really a square ?
I mean is the distance from Home to 2nd base the same as the
distance between 1st and 3rd base ?
You know what ? If it's not a square, then we don't have enough
information to solve this problem. But since they gave it to you to
solve, with just that much information, I guess it must be square.
OK. The baseball diamond is actually a square ... at least THIS
one is.
That means there's a right angle at each base.
Great !
Get your scissors and carefully cut the baseball diamond in half,
along the line from Home to 2nd base. Then throw away one half.
Now what do you hold in your hand ?
It's a right triangle. The legs are the two 90-ft base lines, the right angle
is at that base, and the hypotenuse is the line from Home to 2nd base ...
exactly the distance the catcher has to throw to Second.
Can you find the length of the hypotenuse when the legs are both 90 ft ?
Remember the hypotenuse is
the square root of (one leg squared plus the other leg squared).
You can finish it off from here. Take it, Braydon !
-------- how do I solve this?
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Answers
Answers
Cylinder: radius = 8 yd; height = 4 yd
Surface Area = 2 π r h + 2 π r²
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SA = 602.88 yd²
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V = 3.14 * (8yd)² * 4yd
V = 803.84 yd³
Dimension is cut in half. radius = 4yds ; height = 2yds
S.A = 2 * 3.14 * 4yd * 2yd + 2 * 3.14 * (4yd)²
S.A = 50.24 yd² + 100.48 yd²
SA = 150.72 yd²
V = 3.14 * (4yd)² * 2yd
V = 100.48 yd³
SA = 602.88 yd² - 150.72yd² = 452.16 yd²
V = 803.84 yd³ - 100.48 yd³ = 703.36 yd³
Answers
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divide oth sies by 95
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