The base of a cone with radius 15cm and slant height 25cm is hemispherical find the volume of - Maths - Surface Areas and Volumes

Question

The base of a cone with radius 15cm and slant height 25cm is
hemispherical find the volume of this solid (?=3 14)

Shruti Tyagi · Accepted Answer

Dear student,
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5bbc8be6d6c4e%20png">
In rt ∆AECAC2=AE2+EC2⇒252=AE2+152⇒625=AE2+225⇒AE2=625-225⇒AE2=400⇒AE=20 cm    --[neglecting -ve value]Vol of solid=Vol of ∆ABC+Vol of hemisphere BDC=12×BC×AE+23×π×EC3=12×15+15×20+23×π×153=12×30×20+23×3
14×15×15×15=30×10+2×314100×5×15×15=300+2×31420×1×15×15=300+31410×15×15=300+3142×3×15=300+157×3×15=300+7065=7365 cm3
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The base of a cone with radius 15cm and slant height 25cm is hemispherical . find the volume of this solid (?=3.14)