Question

the height of a cone is 15 CM if its volume is 1570 cm cube cube find the diameter of the base (pi = 3.14) please explain too​

Answer 1

Diameter = 20cm

Step-by-step explanation:

• Height = 15cm
• Volume = 1570cm³
• Radius = ?

NOW :-

Volume of Cone :-

$\frac{</strong><strong>1</strong><strong>}{</strong><strong>3</strong><strong>}</strong><strong>\</strong><strong>p</strong><strong>i</strong><strong> {</strong><strong>r</strong><strong>}^{</strong><strong>2</strong><strong>}</strong><strong>h</strong><strong> </strong><strong>=</strong><strong> </strong><strong>1</strong><strong>5</strong><strong>7</strong><strong>0</strong><strong> </strong><strong>\\</strong></p><p><strong>=</strong><strong>)</strong><strong>\</strong><strong>f</strong><strong>r</strong><strong>a</strong><strong>c</strong><strong>{</strong><strong>1</strong><strong>}</strong><strong>{</strong><strong>3</strong><strong>}</strong><strong> </strong><strong>\</strong><strong>t</strong><strong>i</strong><strong>m</strong><strong>e</strong><strong>s</strong><strong> </strong><strong>3</strong><strong>.</strong><strong>1</strong><strong>4</strong><strong> </strong><strong>\</strong><strong>t</strong><strong>i</strong><strong>m</strong><strong>e</strong><strong>s</strong><strong> </strong><strong>{</strong><strong>r</strong><strong>}</strong><strong>^</strong><strong>{</strong><strong>2</strong><strong>}</strong><strong>\</strong><strong>t</strong><strong>i</strong><strong>m</strong><strong>e</strong><strong>s</strong><strong> </strong><strong>1</strong><strong>5</strong><strong> </strong><strong>=</strong><strong> </strong><strong>1</strong><strong>5</strong><strong>7</strong><strong>0</strong><strong> </strong><strong> </strong><strong>\\</strong><strong> </strong><strong>3</strong><strong>.</strong><strong>1</strong><strong>4</strong><strong> </strong><strong>\</strong><strong>t</strong><strong>i</strong><strong>m</strong><strong>e</strong><strong>s</strong><strong> </strong><strong>{</strong><strong>r</strong><strong>}</strong><strong>^</strong><strong>{</strong><strong>2</strong><strong>}</strong><strong>\</strong><strong>t</strong><strong>i</strong><strong>m</strong><strong>e</strong><strong>s</strong><strong> </strong><strong>5</strong><strong> </strong><strong>=</strong><strong> </strong><strong>1</strong><strong>5</strong><strong>7</strong><strong>0</strong><strong> </strong><strong>\\</strong><strong> </strong><strong>1</strong><strong>5</strong><strong>.</strong><strong>7</strong><strong> </strong><strong>{</strong><strong>r</strong><strong>}</strong><strong>^</strong><strong>{</strong><strong>2</strong><strong>}</strong><strong> </strong><strong>=</strong><strong> </strong><strong>1</strong><strong>5</strong><strong>7</strong><strong>0</strong></p><p><strong>\\</strong><strong> </strong><strong>{</strong><strong>r</strong><strong>}</strong><strong>^</strong><strong>{</strong><strong>2</strong><strong>}</strong><strong> </strong><strong>=</strong><strong> </strong><strong>\</strong><strong>f</strong><strong>r</strong><strong>a</strong><strong>c</strong><strong>{</strong><strong>1</strong><strong>5</strong><strong>7</strong><strong>0</strong><strong>}</strong><strong>{</strong><strong>1</strong><strong>5</strong><strong>.</strong><strong>7</strong><strong>}</strong><strong> </strong><strong> </strong><strong>\\</strong><strong> </strong><strong>{</strong><strong>r</strong><strong>}</strong><strong>^</strong><strong>{</strong><strong>2</strong><strong>}</strong><strong> </strong><strong>=</strong><strong> </strong><strong>1</strong><strong>0</strong><strong>8</strong><strong> </strong><strong>\\</strong><strong> </strong><strong>r</strong><strong> </strong><strong>=</strong><strong> </strong><strong>1</strong><strong>0</strong><strong> </strong><strong>$

Thus The radius = 10 cm

Diameter = r x 2

=)10 x 2

=)20

Thus

$\boxed{Diameter = 20cm}$