The total surface area of a cone whose radius | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The total surface area of a cone is given by the formula: $	ext{Total Surface Area} = 	ext{Area of the base} + 	ext{Curved surface area}$.Given

Vedclass · Accepted Answer

$\pi r(l+\frac{r}{4})$

Vedclass · Answer

(B) The total surface area of a cone is given by the formula: $	ext{Total Surface Area} = 	ext{Area of the base} + 	ext{Curved surface area}$.Given,radius $R = \frac{r}{2}$ and slant height $L = 2l$.$	ext{Total Surface Area} = \pi R^2 + \pi RL$Substituting the values:$= \pi \left(\frac{r}{2}ight)^2 + \pi \left(\frac{r}{2}ight) 	imes (2l)$$= \pi \left(\frac{r^2}{4}ight) + \pi rl$$= \pi r \left(\frac{r}{4} + light)$$= \pi r \left(l + \frac{r}{4}ight)$.

The total surface area of a cone whose radius is $\frac{r}{2}$ and slant height is $2l$ is

Similar Questions

Find the curved surface area and the total surface area of a hemisphere with a diameter of $14 \, cm$.

The dimensions of each iron hollow box are $30 \, cm \times 15 \, cm \times 10 \, cm$. What is the volume of a carton containing $60$ such boxes? (in $m^3$)

Find the amount of water displaced by a solid spherical ball of diameter $4.2 \, cm$,when it is completely immersed in water. (in $, cm^3$)

Find the curved surface area of a cone with radius $7 \, cm$ and height $24 \, cm$. (in $cm^2$)

The radius of the base of a cone is $14 \, cm$ and its slant height is $50 \, cm$. Find the volume of the cone (in $cm^3$).

Vedclass Test Series

Exam Paper Generator

Online Exam Module