The heap of wheat is in the form of a cone whose diameter is 48m and height is 7m. Find the volume of the heap. If it is covered by canvas to protect it from rain, find the cost of the canvas required. Given that the rate of canvas is Rs. 7 per 100 cm².

To find the volume of the heap of wheat in the form of a cone, you can use the formula for the volume of a cone:

Volume (V) = (1/3) * π * r^2 * h

Where:

V is the volume of the cone.
π (pi) is approximately equal to 3.14159.
r is the radius of the base of the cone.
h is the height of the cone.
In this case, you're given the diameter of the base, which is 48 meters. To find the radius (r), you need to divide the diameter by 2:

r = 48 m / 2 = 24 m

The height (h) of the cone is given as 7 meters.

Now, you can plug these values into the formula:

V = (1/3) * π * (24 m)^2 * 7 m
V = (1/3) * π * 576 m^2 * 7 m
V ≈ (1/3) * 3.14159 * 4032 m^3
V ≈ 4236.76 m^3 (rounded to two decimal places)

So, the volume of the heap of wheat is approximately 4236.76 cubic meters.

Next, you want to find the cost of the canvas required to cover the heap. To do this, you need to find the total surface area of the cone and then calculate the cost based on the rate of canvas.

The total surface area of a cone can be found using the formula:

Surface Area (A) = π * r * (r + √(r^2 + h^2))

Where:

A is the total surface area.
π (pi) is approximately equal to 3.14159.
r is the radius of the base of the cone.
h is the height of the cone.
We already have the values of r and h:

r = 24 m
h = 7 m

Now, plug these values into the formula:

A = 3.14159 * 24 m * (24 m + √(24 m^2 + 7 m^2))
A = 3.14159 * 24 m * (24 m + √(576 m^2 + 49 m^2))
A = 3.14159 * 24 m * (24 m + √(625 m^2))
A = 3.14159 * 24 m * (24 m + 25 m)
A = 3.14159 * 24 m * 49 m
A ≈ 36561.18 square meters (rounded to two decimal places)

Now, you can calculate the cost of the canvas required:

Cost = (Surface Area / 100) * Rate of Canvas
Cost = (36561.18 square meters / 100) * Rs. 7 per 100 cm^2

First, convert square meters to square centimeters:
1 square meter = 10,000 square centimeters
So, 36561.18 square meters = 36561.18 * 10,000 square centimeters

Now, calculate the cost:

Cost = (365611800 square centimeters / 100) * Rs. 7 per 100 cm^2
Cost = (3656118 * 7) Rs.
Cost ≈ Rs. 25,599.26

So, the cost of the canvas required to cover the heap is approximately Rs. 25,599.26.