Answer:
11/ 42. *. X^ 2. * X = I/3 X A * h; if E = 1/3 A
Then the answer is EX
Step-by-step explanation:
Volume of cone= 1/3 * base area * height
= 1/3 * pi* (X/2)^2 * X
= 1/3. * 22/ 7 * X^3/4
= 22/ 21 * X^3 / 4
= 11/21 *. X^2/ 2. *. X
= 11/ 42. * X^3
= 11/ 42. *. X^ 2. * X
Answer: The correct option is (B) 24 : 25.
Step-by-step explanation: Given that the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2 : 3.
We are to find the ratio of the area of R to the area of S.
Let 2x, 3x be the sides of rectangle R and y be the side of square S.
Then, according to the given information, we have

Therefore, the ratio of the area of R to the area of S is
![\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.](https://tex.z-dn.net/?f=%5Cdfrac%7B2x%5Ctimes3x%7D%7By%5Ctimes%20y%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B5x%5E2%7D%7By%5E2%7D%5C%5C%5C%5C%5C%5C%3D6%5Cleft%28%5Cdfrac%7Bx%7D%7By%7D%5Cright%29%5E2%5C%5C%5C%5C%5C%5C%3D6%5Ctimes%5Cleft%28%5Cdfrac%7B2%7D%7B5%7D%5Cright%29%5E2~~~~~~~~~~~%5B%5Ctextup%7BUsing%20equation%20%28i%29%7D%5D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B24%7D%7B25%7D%5C%5C%5C%5C%3D24%3A25.)
Thus, the required ratio of the area of R to the area of S is 24 : 25.
Option (B) is CORRECT.
Solution:
The three powers whose value is greater than 500 and less than 550 can be find by following procedure.
We will solve this problem by Hit and trial method by finding the squares, cubes, fourth power, Fifth Power,...etc. of different natural numbers.
23²= 529
8³ = 8 × 8 × 8 =512

The three powers are →→→Eighth power of 2, Square of 23, and Cube of 8.
Answer:
A. 5 days after 15 June - June 20
B. 10 days before Independence day - 5 August
C. 7 days before 8 January - 1 January
D. 3 days before Republic day - 23 January
E. 14 days after 16 July - 30 july
F. 20 days after 1 August - 21 August
Answer:
Vertex (2,2)
y- Intercept is 10
On problems like this, use Desmos Graphing. It helps a lot.