a solid cone of base radius 5cm and height 6cm is made of metal of density 4g/cm3
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The volume of anything pointy with straight sides is (1/3) * base area * height
so
V = (1/3)pi (25)(6)
and the mass is
m = 4 * V
I need an answer
A solid cone of base radius 5cm and 6cm is made of density 4g/m find it's mass . take pie as3.14
To find the mass of the solid cone, we can use the formula:
Mass = Volume x Density
First, we need to find the volume of the cone. The formula for the volume of a cone is:
Volume = (1/3) x π x r^2 x h
where r is the base radius of the cone and h is the height of the cone.
Given that the base radius (r) is 5cm and the height (h) is 6cm, we can substitute these values into the formula:
Volume = (1/3) x π x (5cm)^2 x 6cm
Next, we substitute the value of π (pi) into the formula, which is approximately 3.14159:
Volume = (1/3) x 3.14159 x (5cm)^2 x 6cm
Simplifying the calculation, we get:
Volume = 3.14159 x 25cm^2 x 6cm / 3
Volume = 3.14159 x 25cm^2 x 2cm
Volume = 3.14159 x 50cm^3
Now we can calculate the mass using the density of the metal, which is given as 4g/cm^3:
Mass = Volume x Density
Mass = 3.14159 x 50cm^3 x 4g/cm^3
Simplifying the calculation, we get:
Mass = 628.3185 g
Therefore, the mass of the solid cone is approximately 628.32 grams.