Hey!
The answer is 254.3
Cheers :)
Answer:
64 × pi m²
Step-by-step explanation:
the formulas needed for the surface area of a cone are :
base area plus the "mantle", the lateral "wall" around it.
the base area is a circle.
so, that formula is Ac = pi×r²
the "wall" formula is Aw = pi×r×s
r = radius
s = slant height = 12
the formula for the surface area of a sphere is
As = 4×pi×r²
we know now, that both surface areas are the same, and also the radius is the same for both objects.
Ac + Aw = As
pi×r² + 12×pi×r = 4×pi×r²
=>
12×pi×r = 3×pi×r²
12×pi = 3×pi×r
12 = 3×r
r = 4 m
now, we only need to use this value of r in our formulas for surface areas, like for the sphere :
4×pi×r² = 4×pi×4² = 4³×pi = 64×pi
Answer:
4.9 x 10∧12
Step-by-step explanation:
Answer:
38.2
Step-by-step explanation:
38.2 goes into 344 9 times
Law of cosine is :
c^2<span> = a^</span>2<span> + b^</span>2<span> − 2ab cos(theeta)
</span>so in case of right triangle , angle is 90 degree:
putting 90 degrees into formula:
c^2 = a^2 + b^2<span> − 2ab cos(90)
</span>As we know that:
cos90 = 0
c^2 = a^2 + b^2<span> − 2ab (0)
</span>c^2 = a^2 + b^2<span> - 0
</span>c^2 = a^2 + b^2 ( this is <span>pythagorean theorem ).
</span>So the above statement is True.
