Question

Height of the cone is 15 CM if its volume is 1570 cm cube find the diameter of the base

Answer 1

Answer:

r = 10 cm

Step-by-step explanation:

1/3 pie r2 h = volume

1570 = 1/3 * 22 /7* r *r * 15

1570 / 5 = 3.14 * r2

314 = 3.14 into r square

r square = 100

r = 10

Answer 2

AnswEr:

$\bf{Given}\begin{cases}\sf{Height\:of\:cone=15cm }\\ \sf{let\:the\:radius\:be\:r}\\ \sf{Volume\:of\:cone=1570\:cm^3}\end{cases}$

$</p><p>\bold{\large{\boxed{\sf{\blue{Volume= \frac{1}{3} \pi {r}^{2}h }}}}}</p><p></p><p> \\ \\ \longrightarrow \tt\frac{1}{3 } \times \frac{22}{7} \times {x}^{2} \times 15 \: = 1570 \\ \\ \longrightarrow \tt \frac{22}{7} \times {x}^{2} \times 5 = 1570 \\ \\ \longrightarrow \tt{x}^{2} = 100 \: {cm}^{2} \\ \\ \longrightarrow \tt \: x = \sqrt{100} \\ \\ \longrightarrow \tt x = 10 cm$

Therefore, the diameter of its base is 10 cm.

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More Formulae :

• Volume = $\sf\frac{1}{3}\pi\:r^2\:h$

• Lateral surface area = πrl

• Total surface area = π (r+h)