The answer is 100 before the 1 is on the hundreds place and there are no decimals
Answer:
Step-by-step explanation:
A sector is a portion of the circle that is bounded by 2 radii forming an angle at the center of the circle. If it is folded into a cone, the radius of the sector becomes the slant height of the cone. The length of the arc formed by the sector becomes the circumference of the circular base of the cone. Therefore, to calculate the
1) Base radius, we would apply the formula,
Circumference = 2πr
Circumference = length of arc = 125/360 × 2 × 3.14 × 18
= 39.25
Radius, r = 39.25/2 × 3.14 = 6.25 cm
2) Semi vertical height, we would apply Pythagoras Theorem with the slant height of the cone being the hypotenuse, the radius being the adjacent side and the slant height being the opposite side.
h² = 18² - 6.25² = 284.9375
h = √284.9375 = 16.88 cm
3) Volume = 1/3πr²h where h represents the vertical height
Volume = 1/3 × 3.14 × 6.25² × 16.88 = 690.15 cm³
The two triangles are similar. <span>When two </span>figures<span> are </span>similar<span>, the ratios of the lengths of their corresponding sides are equal. We use this fact in order to calculate the height of the bigger triangle. We do as follows:
QP / SL = MN / SL+SR
25 / SL = 35 / SL + 13
SL = 32.5
Area = height x base / 2
Area = SL x MN / 2
Area = 32.5 x 35 / 2 = 568.75
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5^5
it would be 5 to the power of 5