Question

The height of a right circular cone is 21 cm and the diameter
of the base is 2 cm then its volume is?

Answer 1

Answer:

$\bigstar{\bold{Volume\:of\:the\:cone=22\:cm^{3} }}$

Step-by-step explanation:

$\Large{\underline{\underline{\bf{Given:}}}}$

• Height of the cone (h)= 21 cm
• Diameter (d) = 2 cm

$\Large{\underline{\underline{\bf{To\:Find:}}}}$

• Volume of the cone

$\Large{\underline{\underline{\bf{Solution:}}}}$

→ First we have to find the radius of the cone

→ Radius of the cone = Diameter/2

  Radius of the cone = 2/2 = 1 cm

→ The volume of a cone is given by the formula,

   Volume of the cone = 1/3 × π × r² × h

→ Substituting the given datas we get,

   Volume of the cone = 1/3 × 22/7 × 1² × 21

   Volume of the cone = 1/3 × 22 × 3

   Volume of the cone = 22 cm³

→ Hence volume of the cone is 22 cm³

$\boxed{\bold{Volume\:of\:the\:cone=22\:cm^{3} }}$

$\Large{\underline{\underline{\bf{Notes:}}}}$

→ The curved surface area of a cone is given by

   CSA of a cone = π r l

   where l is the slant height of the cone

→ The total surface area of a cone is given by

   TSA of a cone = π r ( r + l)

→ Volume of a cone is give by

  Volume of a cone = 1/3 × π × r² × h