A cylindrical container closed a one end has a diameter of 10 cm and height 15 cm. Find:
The value of the tin to the nearest naira if tin plate cost 1.25 naira per square centimeter
area of bottom = pi d^2/4 = 3.14 * 100 /4 = 25 * 3.14
area of side = pi d h = 3.14 * 10 * 15 = 150 * 3.14
so
total area = 175 * 3.14
cost = 1.25 * 175 * 3.14
A = pi*r^2+2pi*r*h = 3.14*5^2+6.28*5*15 = 549.8 cm^2.
Cost = 549.8 * 1.25 =
To find the cost of the tin plate, we need to calculate the surface area of the closed end of the cylindrical container.
The formula for the surface area of a closed end of a cylinder is:
A = π r^2
Where A is the surface area and r is the radius of the closed end.
We know that the diameter of the closed end is 10 cm, which means the radius is half of that. So the radius, r, is 10 cm / 2 = 5 cm.
Plugging the value of the radius into the formula, we get:
A = π × 5^2
Simplifying this expression, we have:
A = 25π square cm
Now, we can find the cost of the tin plate by multiplying the surface area by the cost per square centimeter.
The cost per square centimeter is given as 1.25 naira.
So, the cost of the tin plate is:
25π square cm × 1.25 naira/square cm = 31.25π naira
To find the cost to the nearest naira, we can use the approximate value of π as 3.14.
So, the cost of the tin plate to the nearest naira is:
31.25 × 3.14 ≈ 98.125 naira
Therefore, the value of the tin plate to the nearest naira is approximately 98 naira.