Answer:
<h2>Volume = 264 cm³</h2>
Step-by-step explanation:
<u><em>Formula</em></u>:
Let b be the base (circle) of the cone
and h be the height of the cone
……………………………………………
→ b = π × r²
= π × 6²
= (22÷7) × 36
= 113.142857142857 cm²
→ h = 7
The volume = (1÷3)×(113,142857142857)×(7)
= 264 cm³
===================
<u><em>METHOD 2</em></u> :
Volume = (1÷3)×(22÷7)×36×7
= (1÷3)×22×36
= 22×12
= 264
Let "a", "b" and "с" be sides of the triangle ("с" is the longest side). The triangle will be:
right if a² + b² = c²
аcute if a² + b² > c²
obtuse if a² + b² < c²
We have a=2, b=√11 and c=√15
2² + (√11)² = 4 + 11 = 15
and
(√15)² = 15
15 = 15 ⇒ right triangle.
Hope this helps.
Length = L
New length = L+0.1L= 1.1 L
Width = W
New width = W - (W/100)p= W-pW/100= (100W-pW)/100=W(100-p)/100
Area =A = LW
New area = A - 0.12A = 0.88A
New area = new width*new length = 1.1L*W(100-p)/100 = 1.1A(100-p)/100
New area = 0.88A
New area = 1.1A(100-p)/100
1.1A(100-p)/100 = 0.88A
1.1(100-p)/100 = 0.88
1.1(100 - p) = 88
100 - p = 80
p = 20
Answer C) 20.