Defining congruent triangles cd
1 answer:
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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
Answer: C. 27% of men like woody fragrances, and 45% of the people who like citrus fragrances are women
Step-by-step explanation:
Here, Given table,
Citrus Fruity Woody
Men : 27 21 18
Women : 22 26 15
Thus, The percentage of men like woody fragrances
=
=
=
= 27.2727..... %
≈ 27 %
Now, The percentage of men like woody fragrances
=
=
=
= 44.8979591837 %
≈ 45 %
Thus, Option C is correct.