Solid mensuration

Neil Bryan C. Hernandez ECE 5101 Solid Mensuration 1. The radius of a sphere sphere is 5 feet. Find the area area of the the great great irle irle of this this sphere. a. 5  b.

25 

. 1!5  d. "!5  !. # ylinder ylinder and and a one one eah eah ha$e a radius radius of % in. and and a height height of of & in. 'hat is the ratio of the $olu(e of the one to the $olu(e of the ylinder) a. *one + *ylinder , 1 + ! b.

Vcone : Vcylinder = 1 : 3

. *one + *ylinder , 1 +d. *one + *ylinder , 1 + 1 %. Find the $olu(e $olu(e of a pris( hose hose /ase is an euilatera euilaterall triangle triangle ith a side of  a. and ! hose length is ". /. "2% c. 2423

d. & 1 . The surfa surfae e area area of a regula regularr suare suare pyra(id pyra(id is 3 , 3 4 33 here B is the area of the /ase  p is !

the peri(eter of the /ase and s is the slant height. 6f the /ase is a suare suare ith a side length of 10 and the slant height is 15 7nd the surfae area of the pyra(id. a. &5 /. !! . %1 d. 40

5. 'hih of the folloin folloing g for(ulas for(ulas ill 7nd the surfa surfae e area of a ylinder ylinder ith ith one open end and one losed end) a. S# , !-rh 4 !-r ! b.

SA = 2πrh + πr2

S# , !-rh 8 -r ! d. S# , !-rh ". 'hih platon platoni i solid ill ill /e reate reated d hen the net net shon shon at the right is asse(/led) a. Tetra trahed hedron /. Cu/e .

c. Octa Octahe hedr dron on

d.

dodeahedron

9. Soda is sold sold in alu(inu( alu(inu( ans that that (easure (easure " inhes inhes in height and and ! inhes inhes in dia(eter. dia(eter. Ho (any u/i inhes of soda soda are ontained ontained in a full an) :;ound :;ound anser to the nearest tenth of a u/i inh.os * , seg(ent of a sphere 1 1 , %! 3 ,L<   L :%3 

  :1.&&%!