Question

If h and v of cone is 15cm n500cm² then r of base of cone​

Answer 1

Answer:

The height of a cone is 15cm. If its volume is 1570cm

3

, find the radius of the base

Step-by-step explanation:

Volume of area =

3

1

πr

2

h

Given, h=15cm

V=1570 cm

3

3

1

×

7

22

×r

2

×15=1570

r

2

=

15×22

1570×3×7

=99.909

r=

99.909

≅10cm.

Answer 2

Answer:

$\Large{\boxed{\underline{\overline{\mathfrak{\star \: Correct Question:- \: \star}}}}}$

If height and volume of a cone are 15cm and 500 cm square respectively then find the radius of the base of the cone.

$\huge\underline{\overline{\mid{\bold{\pink{ANSWER-}}\mid}}}$

$:\implies \underline{ \boxed{ \sf r = 5.64 \: cm }}\: \: \: \: \Bigg\lgroup\textsf{\textbf{Radius of the base}}\Bigg\rgroup$

$\Large{\underline{\underline{\bf{GiVen:-}}}}$

✦Height of cone is 15 cm.

✦Volume of cone is 500 cm³

Have to Find :-

Radius of the base of cone.

$\Large{\underline{\underline{\bf{Solutions:-}}}}$

Let the base radius of cone be r cm.

As we know ,

$\large{\boxed{\tt{Volume_{cone}\:=\:\dfrac{1}{3}\:\pi\:r^2\:h}}}$

As according to the given :-

$\sf{{500\:=\:\dfrac{1}{3}\:\pi\:r^2\:15}}$

$\sf{{500=\dfrac{15\:\pi\:r^2}{3}}}$

$\sf{{500\:\times\:3\:=\:15\:\pi\:r^2}}$

$\sf{{1500\:=\:15\:\pi\:r^2}}$

$\sf{{\dfrac{1500}{15\:\pi}=r^2}}$

$\sf{{\dfrac{100}{\pi}=r^2}}$

$\sf{{\dfrac{100}{3.14}=r^2}}$

$\sf{{31.84=r^2}}$

$\sf{{\sqrt{31.84}=r^2}}$

$\sf{{5.64=r}}$

$\sf\bigstar\:\underline{\purple{\:\:\: Radius \: of \: the \: base \: :-\:\:\:}}$ 5.64 cm