Question

The total surface area of
a cone of radius r by 2
and stant height 2L is

Answer 1

Answer:

88/7(1+L)

Step-by-step explanation:

Radius of the cone(r) = 2

slant height(l) = 2L

so the total surface area will be

pi×r²+pi×r×l

=22/7 × 2² + 22/7 ×2×2L

=88/7 + 88L/7

=88/7(1+L)

Answer 2

$\sf{\big(Area\big)_{original}= \pi \times r(l+r)}$

$\sf{\big(Area\big)_{new\:cone}= \pi \times \dfrac{r}{2}\bigg(2L +\dfrac{r}{2}\bigg)}$

$\implies \sf{\big(Area\big)_{new\:cone} = \bigg(\dfrac{r}{2} \times 2L\bigg)+\bigg(\dfrac{r}{2} \times \dfrac{r}{2}\bigg)}$

$\implies \sf{\big(Area\big)_{new\:cone}= rL+ \dfrac{r^{2} }{4}}$

$\therefore \: \boxed{\large{\bf{\big(Area\big)_{new\:cone}=r\bigg(L+\dfrac{r}{4}\bigg)}}}$

Additional Information:

• Total Surface Area or TSA is the combination of CSA and top surface with bottom face.
• Volume is the quantity of matter that can be held in the given shape.