Spherical sector - parameters

Find the volume and surface area of spherical sector whose base has an altitude of 8cm. Drawn on a sphere whose diameter is 36 cm.

Final Answer:

V =  5428.6721 cm3
S =  1608.4954 cm2

Step-by-step explanation:

d=36 cm h=8 cm  r=d/2=36/2=18 cm  V=32 π r2 h=32 3.1416 182 8=5428.6721 cm3
r22=2 r hh2  r2=2 r hh2=2 18 882=4 14 cm14.9666 cm  S1=π r22=3.1416 14.96662703.7168 cm2 S2=2π r h=2 3.1416 18 8904.7787 cm2  S=S1+S2=703.7168+904.7787=1608.4954 cm2



Did you find an error or inaccuracy? Feel free to send us. Thank you!







Tips for related online calculators
Tip: Our volume units converter will help you convert volume units.

You need to know the following knowledge to solve this word math problem:

arithmeticsolid geometryplanimetricsUnits of physical quantitiesGrade of the word problem

 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: