Question

A cone has a circular base of radius 8 cm and a slant
height of 20 cm. Find the volume of the cone.​

Answer 1

Answer:

1228.51 cm

Step-by-step explanation:

v =1/3 pie r square root over l square - r square

= 1/3·pie·8 square ·root over 20 Square - 8 Square

= 1228.50868 cm

Answer 2

Answer:

The volume of the cone is 1228.98 cm³.

Step-by-step explanation:

Given :-

• A cone has a circular base of radius 8 cm and slant height of 20 cm.

To find :-

• Volume of the cone.

Solution :-

• Radius (r)= 8 cm
• Slant height (l) = 20 cm

Now find the height of the cone.

$\implies$r²+h²=l²

$\implies$8²+h²=20²

$\implies$64+h²=400

$\implies$h²=400-64

$\implies$h²=336

$\implies$h=√336

$\implies$h=18.33

Formula used :

${\boxed{\sf{Volume\:of\:cone=\dfrac{1}{3}\pi\:r^2h}}}$

Volume of the cone ,

⅓πr²h

= ⅓ ×(22/7)×8×8×18.33 cm³

= 25808.64/21 cm³

= 1228.98 cm³

Therefore, volume of the cone is 1228.98 cm³.

__________________

Additional Info :

• Volume of cylinder = πr²h
• T.S.A of cylinder = 2πrh + 2πr²
• Volume of cone = ⅓ πr²h
• C.S.A of cone = πrl
• T.S.A of cone = πrl + πr²
• Volume of cuboid = l × b × h
• C.S.A of cuboid = 2(l + b)h
• T.S.A of cuboid = 2(lb + bh + lh)
• C.S.A of cube = 4a²
• T.S.A of cube = 6a²
• Volume of cube = a³
• Volume of sphere = 4/3πr³
• Surface area of sphere = 4πr²
• Volume of hemisphere = ⅔ πr³
• C.S.A of hemisphere = 2πr²
• T.S.A of hemisphere = 3πr²