Question

find the weight of a solid cone whose base is of diameter 14cm and vertical height 51cm, supposing that the material of which it is made weights 10 gram per cubic cm

Answer 1

$\Longrightarrow{\boxed{\bold{Answer: 26.18\:kg }}}$

$\textbf{\underline{Step-by-step explanation :- }}$

⇒Volume of cone = ⅓ πr²h

⇒Diameter = 2 × radius

⇒14 cm = 2 × radius

⇒7 cm = radius

= ⅓ × 22/7 × 7² × 51 cm³

= ⅓ × 22/7 × 7 × 7 × 51 cm³

= 22 × 7 × 17 cm³

$\bold{\huge{= \underline{2618 cm^3}}}$

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⇒Now, 1 cm³ weight = 10 g

⇒2618 cm³ weight = 2618 × 10g

$\boxed{\bold{\large{= \underline{26180\:gram\:or}}}}$

$\textbf{\huge{= \underline{26.18 kg}}}$

Answer 2

Heyy Buddy

Here's your Answer.

Given:-

Diameter = 14 cm.

=> Radius = 7 cm.

Now,

Volume of Cone = 1/3 × 22/7 × r^2 × h

=> 1/3 × 22/7 × 7 × 7 × 51

=> 22 × 7 × 17

=> 2618 cm^3.

We know that,

1 cm^3 = 10 gram

=> 2618 cm^3 = 2618 × 10

=> 26180g.