Answer:
1386 in³
Step-by-step explanation:
Volume of the composite cone = volume of a hemisphere + volume of a cone
=>Find the volume of cone
Volume of cone = ⅓πr²h
π = 3.142
r = 7 in
h = =√(15² - 7²) [using Pythagorean theorem to solve for height given the slant height and radius]
h = √(225 - 49)
h = √176 ≈ 13 in
Volume of cone = ⅓*3.142*7²*13
= ⅓*2001.454 ≈ 667 in³
=>Find volume of hemisphere.
Volume of hemisphere = ½*volume of sphere = ½*4/3πr³ = ⅔πr³
π = 3.142
r = 7 in
Volume = ⅔*3.142*7³ ≈ 719 in³
<em>Volume of composite figure = 667+719 = 1386 in³</em>
Y = 5x because 5 times the x number ( for ex. 12) is equal to the y number (60)
Answer:
The domain is the set of values you put into the function.
The range is the set of values the function outputs.
<u>Example problem</u>:
Find the range of this function: y = 2x + 3, x > 0
The x > 0 part is the domain, so this means that only positive values of x can be inputted in the function.
If only positive values can be inputted in the function, then the range will be: y > 3
Answer:
108
Step-by-step explanation:
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