What is 68% of 150? i need step by step
1 answer:
Answer:
102
Step-by-step explanation:
Step 1: ask your calculator. It will tell you ...
0.68 × 150 = 102
_____
Many calculators will deal with percentages directly. If yours doesn't, you may need to convert the percentage to a decimal fraction. Since "%" means the same thing as "/100", you know that 68% is the same as 68/100, or 0.68 (sixty-eight hundredths).
Using your multiplication skills, you can do this in your head with a simple transformation of the problem:
0.68×150 = 68×1.50 . . . . multiply one factor by 100; divide the other factor by 100
= 68×1 +68×0.50 . . . . . . use the distributive property
= 68 + 68/2 . . . . . . . . . . . recognize multiplying by 0.5 is dividing by 2
= 68 +34 = 70 +32 . . . . . rearrange the addition to simplify, if you like
= 102
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*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
See the attached picture.
The negative sign in front of the 2 makes the graph an upside down U shape.
