Question

The radius of the base and the hight of right circular cone are 7 cm and 24 cm respectively. Find the volume and total surface area of the cone

Answer 1

volume of cone = πr^2h/3
3.14×7×7×24/3
1,230.88 cm^3
total surface area of cone =πr(r+l)
first find slant hight
slant hight = root24^2+7^2
slant hight = root625
slant hight = 25 cm
3.14×7 (7+25)
703.36 cm^2

Answer 2

Answer:

GIVEN :-

❥ Radius of the base of a right circular cone = 7 cm

❥ Height of a right circular cone = 24 cm

Step-by-step explanation:

Volume of a right circular cone = ⅓ πr² h

• ⅓ × $\frac{22}{7}$ × 7 × 7 × 24
• 1,232 cm³

❥$\large\fbox\green{ Volume \: = \: 1232 \: cm³ }$

Slant height of the cone (l) = $\sqrt{ 24² \: + \: 7² }$

• $\sqrt{ 576 \: + \: 49}$
• $\sqrt{ 625 }$
• 25 cm³

Total surface area of a right circular cone = πr (r + l)

• $\frac{ 22 }{ 7 }$ × 7 (7 + 25)

• $\frac{ 22 }{ 7 }$ × 7 × 32

• 704 cm²

❥$\large\fbox\green{ TSA~of~cone~=~704~cm²~}$