Answer:
Step-by-step explanation:
The volume of a cone is
Filling in what we have:
and simplifying a bit:
Multiply both sides by 3 to get:
Divide both sides by 12.56 to get:
and take the square root of both sides to find the radius:
r = 5
If the radius is 5 and the radius by definition is half the diameter, then the diameter is 10 inches.
By using congruence of two triangles AKC and CMA we proved that
AK = MC
Step-by-step explanation:
Lets revise the cases of congruence
- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and
including angle in the 2nd Δ
- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd Δ
- AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles
and one side in the 2nd Δ
- HL ⇒ hypotenuse leg of the 1st right Δ ≅ hypotenuse leg of the 2nd right Δ
In Δ ABC
∵ AB = BC
∴ Δ ABC is an isosceles triangle
∴ ∠BAC ≅ m∠BCA ⇒ base angles of isoscelesΔ
∵ AK ⊥ BC
∴ m∠AKC = 90°
∵ MC ⊥ AB
∴ m∠CMA = 90°
∴ ∠AKC ≅ ∠CMA
In the two Δs AKC and CMA
∵ ∠BAC ≅ m∠BCA
∵ ∠AKC ≅ ∠CMA
∵ AC ≅ CA
∴ Δ AKC and Δ CMA are congruent by AAS postulate
∴ AK ≅ CM
By using congruence of two triangles AKC and CMA we proved that
AK = MC
Learn more:
You can learn more about congruence in brainly.com/question/3202836
#LearnwithBrainly
200 idk just tried it but don’t go crazy for my answer
<h3><u>given</u><u>:</u></h3>
base= 25 mm
height= 28 mm
<h3><u>to</u><u> </u><u>find</u><u>:</u></h3>
the volume of the square pyramid.
<h3><u>solution</u><u>:</u></h3>
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