The formula of volume of a cone is ______

The formula of volume of a cone is 1/3x𝜋r²h.

The volume of a cone having diameter 4 cm and height 6 cm is ___cm³.

r = d/2 = 4/2 = 2 cm Volume of a cone = 1/3x𝜋r²h = 1/3 x 𝜋 x 2 x 2 x 6 = 8𝜋 cm³

Find the volume of the right circular cone with radius 7 cm and height 9 cm.(Take 𝜋 = 22/7)

r = 7cm, h = 9 cm Volume of a cone = 1/3x𝜋r²h = (1/3) x (22/7) x 7 x 7 x 9 = 462 cm³

Find the volume of the given right circular cone. (Take 𝜋 = 22/7)

r = 4.2 cm, h = 15 cm Volume of a cone = 1/3 x 𝜋r²h = (1/3) x (22/7) x (42/10) x (42/10) x 15 = 277.2 cm³

Find the volume of the right circular cone with height 24 cm and slant height 25 cm.(Take 𝜋 = 22/7)

l = 25 cm, h = 24 cm, r = ? By Pythagoras theorem l² = h² + r² (25)² = (24)² + r² r² = (25)² - (24)² r² = 625 - 576 r² = 49 r = √49 r = 7 cm Volume of a cone = 1/3 x 𝜋r²h = (1/3) x (22/7) x 7 x 7 x 24 = 1232 cm³

Rahul is wearing a birthday cap as shown in the figure. If its volume is 770 cm³, then find the radius of its base.

h = 15 cm and V = 770 cm³ Volume of a cone = 1/3 x 𝜋r²h 770 = 1/3 x (22/7) x r² x 15 r² = (770 x 3 x 7) / 22 x 15 r² = 49 r = 7 cm

A group of tribes built conical toys as shown in the figure. It has a height of 3 m and a base diameter of 10 m. Find the approximate volume of the three toys. (Take 𝜋 = 22/7)

h = 3 m and r = d/2 = 10/2 = 5 m Volume of a cone = 1/3x𝜋r²h = 1/3 x 22/7 x 5 x 5 x 3 = 78.57 m³ Therefore, Volume of three toys = 3 x 78.57 m³ = 235.71 m³