Question

Diameter of the base of a cone is 10.5cm and its slant height is 12cm . Find its total

surface area of cone​

Answer 1

Answer:

diameter

Step-by-step explanation:

22.5cm is the answer

Answer 2

$\mathfrak{\large{\red{Given!!}}}$

✭ Slant height of the cone = 12 cm

✭ Diameter of base of the cone = 10.5 cm

As we know that the diameter of the circle is always the double of the radius,

Hence,

Radius = $\sf{\frac{10.5}{2}}$

$\sf{:\implies Radius = 5.25\:cm}$

Formula of the total surface area of cone is as follows:-

$\boxed{\rm{\blue{TSA\:of\:cone = 2\pi r(r + l)\:sq.units}}}$

Where:-

• r = Radius of base
• l = Slant height

Let us find the TSA,

$\sf{TSA = 2\times \frac{22}{7}\times 12(12 + 5.25)}$

$\sf{:\implies TSA = 2\times 3.14 \times 12\times 17.25}$

$\sf{:\implies TSA = 1299.96\:cm^2}$

$\bf{\therefore The\:Total\:Surface\:Area\:of\:The\:cone\:is\:1299.96\:cm^2}$

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