20 POINTS / WILL GIVE BRAINLIEST
What is the volume of the composite figure? Leave the answer in terms of π.
______π mm3
please dont answer if you don't know it just to get the points!!

20 POINTS WILL GIVE BRAINLIEST What is the volume of the composite figure Leave the answer in terms of π π mm3 please dont answer if you dont know it just to ge class=

Respuesta :

Answer: Total Volume =  15π + 18 π= 33π cubic mm

Step-by-step explanation:

What is the volume of the composite figure? Leave the answer in terms of π.

_33π mm3

We have a cone here conjoined to a semi-sphere.

so

Cone volume:  C = (1/3)*(πr^2) * h

semi-sphere volume :  V = (1/2)* (4/3) * (π * r^3)

r = 3 mm  and  h = 5mm

so   C = (1/3)*(π  (3)^2) * 5 =  15π  cubic mm

V = (1/2)* (4/3) * (π * 3^3) = 18 π cubic mm

Total Volume =  15π + 18 π= 33π cubic mm

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