Answer:
yes great job!
Step-by-step explanation:
Answer:
cylinder = 27π
cone = 9π
sphere = 36π
Step-by-step explanation:
volume of a cylinder = πr²h where r = radius and h = height
height of cylinder (h) = 3 and radius (r) = 3
so volume = π(3)²3
==> simplify exponent
volume = π9(3)
==> multiply 9 and 3
volume of cylinder = 27π
Volume of a cone = πr²(h/3) where r = radius and h = height
height of cone (h) = 3 and radius (r) = 3
so volume = π(3)²(3/3)
==> simplify exponent
volume = π9(3/3)
==> divide 3 by 3
volume = π9(1)
==> multiply 9 and 1
volume of cone = 9π
volume of a sphere = 4/3πr³ where r = radius
radius = 3
so volume = 4/3π(3)³
==> simplify exponent
volume = 4/3π27
==> multiply 4/3 and 27
volume of sphere = 36π
Equation of the circle is (x - 6)² +(y-7)² = 4.
<h3>What is a Circle ?</h3>
A figure having round shape and all the points lie on the same plane is called a circle.
Equation of a circle can be formed using centre of the circle and radius of the circle.
(x-h)² +(y-k)² = r²
where (h,k) is the vertex and 'r' is the radius.
From the given graph the centre of the circle is at (6,7)
and radius of the circle is 2 units
(h,k) is (6,7)
and r= 2
Substituting all the values
The equation of the circle
(x - 6)² +(y-7)² = 2² = 4
Equation of the circle is (x - 6)² +(y-7)² = 4
To know more about Circle
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The least number of colors needed to correctly color in the sections of the given picture so that no two touching sections have the same color is 5.
Let's say we begin with a single triangle. This triangle will be the first of a series of seven subsequent triangles, none of which will have any portions contact. If a square were the initial shape, then there are five shapes—three of which are squares and the other two are triangles—that don't have any touching portions. Given that a square takes up twice as much room, this value is probably lower, but location also matters. Therefore, for the given figure, the least number of colored areas you can color in that yet meet the required criteria is 5.
Learn more about triangles here:
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