Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone =
r² +
r
(where r = radius of the base and
= slant height)
Given slant height
= 10 and surface area = 188.5
Surface area =
r² +
r
188.5 =
r² + 10
r
r² + 10
r - 188.5 = 0
r =
= 4.219621117...
Volume of a cone = (1/3)
r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of
using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² =
²
h² =
² - r²
h = √(
² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)
r²√(
² - r²)
Given slant height
= 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)
Answer:
13x - 3
Step-by-step explanation:
Step 1:
6x - ( 5x ) + 2x + ( - 3 ) Equation
Step 2:
6x + 5x + 2x - 3 Open Parenthises
Answer:
13x - 3 Add
Hope This Helps :)
Answer:
h = 400 ft
The bird is 400 ft above the submarine
Step-by-step explanation:
Given;
The submarine is 300 feet below sea level
Vertical distance between submarine and sea level h1 = 300 feet
The bird is flying at 100 feet above sea level
Vertical distance between the sea level and the bird h2 = 100 feet
The total vertical distance between the bird and the submarine is the sum of the vertical distance between submarine and sea level and the vertical distance between the sea level and the bird.
h = h1 + h2
h = 300 ft + 100 ft
h = 400 ft
The bird is 400 ft above the submarine
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