Question

The price of a cake of radius r сm and height h cm is given by the formula

P=

`(1)/(25) {r}^(2) h`


If the price of cake is $240 and the height is 15 cm, calculate the radius
of the cake.


pls provide step-by-step explanation, final ans is 20 cm. tysm <33 ​

Answer 1

20 cm

Explanation:

Given that :

P = 1/25 r²h

P = price = 240 ; h = height = 15cm

Inputting values into the equation :

240 = 1/25 * r² * 15

25 * 240 = 15r²

6000 = 15r²

6000 / 15 = r²

400 = r²

Square root of both sides

20 = r

Radius = 20cm