Answer:
h=8cm
Step-by-step explanation:
V= πr^2h/3
Where
V=volume of a cone
π=pi= 3.14
r= radius=4cm
h= height = ?
V= πr^2h/3
134= 3.14*4*4*h/3
134= 50.24h/3
Divide both sides by 50.24
h/3= 134 / 50.24
h/3= 2.67
Cross product
h= 2.67*3
h= 8.01
Approximately h= 8cm
The best estimate of the cone's height is 8cm
Amplitude is 4. Take the absolute value of value a
Rounding to the nearest hundredth would equal a more accurate and precise answer since more decimals are present. Your answer would be even more accurate if you rounded to the nearest thousandth.
This will be solved by solving for x first. Firstly you multiply the top equation by 2 and the bottom by -3. This will change both equation to (top)-10x+6y=-54 and (bottom) 27x-6y=-57. Now when you add the factors the y-values cancel out leaving you with; 17x=-3. now you have to divide by 17 on both sides giving you x=-0.17647058823 (not the prettiest solution but you can round if you want to). After that pick an equation to solve for y (I'm picking the top); the equation will be 5(-0.17647058823)+3y=-27. multiply the negative decimal and 5 to get -0.88235294117 (again not the prettiest). Add that to both sides which will give you 3y=-26.1176470588. After this divide both sides by 3 which will give you y=-8.70588235294. Your answer is (-0.17647058823,-8.70588235294) You can divide to the second or third decimal if needed-----remember that as you round from left to right on a decimal if it's below five you leave it and if it's above 5 then round up 1. I hope this help :)
