A Cone Has Vertical Height And Slant Height As 15 Cm And 17 Cm Respec

1.	A Cone Has Vertical Height And Slant Height As 15 Cm And 17 Cm Respectively. A Hemisphere With The Same Radius As The Cone Is Placed On The Face Of The Cone. What Is The Total Volume Of The Figure Formed?
Answer» Using the PYTHAGORAS theorem, the RADIUS of the cone = √ (172 - 152) = 8 cm. Volume of cone = (1/3) x π x r2 x h= (1/3) x π x 82 x 15 Radius of hemisphere=radius of cone Volume of hemisphere = (2/3) x π x R3 = (2/3) x π x 83 Total volume of FIGURE = Volume of cone + Volume of hemisphere = 4233.58 cu. cm. Using the Pythagoras theorem, the radius of the cone = √ (172 - 152) = 8 cm. Volume of cone = (1/3) x π x r2 x h= (1/3) x π x 82 x 15 Radius of hemisphere=radius of cone Volume of hemisphere = (2/3) x π x r3 = (2/3) x π x 83 Total volume of figure = Volume of cone + Volume of hemisphere = 4233.58 cu. cm.

A Cone Has Vertical Height And Slant Height As 15 Cm And 17 Cm Respectively. A Hemisphere With The Same Radius As The Cone Is Placed On The Face Of The Cone. What Is The Total Volume Of The Figure Formed?

Answer»

Using the PYTHAGORAS theorem, the RADIUS of the cone = √ (172 - 152) = 8 cm.

Volume of cone = (1/3) x π x r2 x h= (1/3) x π x 82 x 15

Radius of hemisphere=radius of cone

Volume of hemisphere = (2/3) x π x R3 = (2/3) x π x 83

Total volume of FIGURE = Volume of cone + Volume of hemisphere = 4233.58 cu. cm.

Using the Pythagoras theorem, the radius of the cone = √ (172 - 152) = 8 cm.

Volume of cone = (1/3) x π x r2 x h= (1/3) x π x 82 x 15

Radius of hemisphere=radius of cone

Volume of hemisphere = (2/3) x π x r3 = (2/3) x π x 83

Total volume of figure = Volume of cone + Volume of hemisphere = 4233.58 cu. cm.