Math, asked by techymukund, 1 year ago

Answer my question with solution........ ​

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Answered by diro101
0

Answer:

314pi cm^2  or 986.46 cm^2

Step-by-step explanation:

cone volume formula = 1/3 * pi*r^2* h

v = 1570 cm^3 and height = 15cm

area of base? area of circle base = pi*r^2

1570 = 1/3*pi*r^2 * 15

r^2 = 1570(3/1)(1/15)

r^2 = 314

now plug value to the formula for circle base

C_area = pi(314)

Answered by mitajoshi11051976
0

Answer :-

Step by step explation :-

We have :

Height of cone = 15 cm

Volume of cone = 1570 cm^3

To Find :

Area of base = (?)

Find radius of base :

 \frac{1}{3} \pi {r}^{2} h = 1570 {cm}^{3}  \\ \\   \frac{1}{3}   \times  \frac{22}{7}  \times  {r}^{2}  \times 15 = 1570 \\  \\   {r}^{2}   =  \frac{1570 \times 3 \times 7}{22 \times 15}  \\  \\  {r}^{2}  = 100 \\  \\ r =  \sqrt{100}  = 10 \: cm

Area of base :

 = \pi {r}^{2}  \\  \\  =  \frac{22}{7}  \times 10 \times 10 \\  \\  = 314 {cm}^{2}

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