*The complete question is in the picture attached below.
Answer:
756πcm³
Step-by-step Explanation:
The volume of the solid shape = volume of cone + volume of the hemisphere.
==> 270πcm³ + ½(4/3*π*r³)
To calculate the volume of the hemisphere, we need to get the radius of the hemisphere = the radius of the cone.
Since volume of cone = 270πcm³, we can find r using the formula for the volume of cone.
==> Volume of cone = ⅓πr²h
⅓*π*r²*10 = 270π
⅓*10*r²(π) = 270 (π)
10/3 * r² = 270
r² = 270 * ³/10
r² = 81
r = √81
r = 9 cm
Thus, volume of hemisphere = ½(4/3*π*r³)
==> Volume of hemisphere = ½(⁴/3 * π * 9³)
= ½(972π)
Volume of hemisphere = 486πcm³
Volume of the solid shape
= volume of cone + volume of the hemisphere.
==> 270πcm³ + 486πcm³
= 756πcm³
You need to get x by itself. So add 11 to both sides. Then you get 9x>4x+23. Subtract 4x from both sides. The new inequality you get is 5x>23. Then, divide each side by 5. You get x>4.6. The answer is x>4.6. Hope this helps! ;)
Answer:
(x+3)( 5x-3)
Step-by-step explanation:
f(x) = 5x² + 12x – 9
Factor
(x+3)( 5x-3)
Answer:
2 pi : 1
Step-by-step explanation:
for every one unit of radius, there are two pi units in the circumference!
Answer:
42
Step-by-step explanation:
because it is the only one do t know so yeah lol