a. The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height. Plugging in the values given, we have V = (1/3)π(4^2)(3) = 16π cm^3.
b. To sketch the cone, draw a circle with a radius of 4 cm as the base. From the center of the base, draw a line perpendicular to the base that is 3 cm long to represent the height of the cone. Connect the endpoints of the line to the circumference of the base to form the curved surface of the cone. This curved surface is the slant height.
c. The total surface area of a cone is given by the formula A = πr(r + l), where r is the radius of the base and l is the slant height. Plugging in the values given, we have A = π(4)(4 + l). Since the slant height is equal to the height in a right circular cone, the slant height in this case is 3 cm. Plugging this value in, we have A = π(4)(4 + 3) = π(4)(7) = 28π cm^2.
A paper cone has base radius of 4cm and height of 3cm
a. Calculate the volume of the cone
b. Sketch the cone and hence find the slant height
c. Calculate the total surface area
1 answer
1 answer