Answer:
Length and Width = 10ft
Height = 5ft
Surface Area = 300 square feet
Step-by-step explanation:
Given
-- Volume
Let:
Volume (V) is calculated as:
Substitute 500 for V
Make H the subject
The tank has no top. So, the surface area (S) is:
Substitute 500/LW for H
Differentiate with respect to L and to W
and
Equate both to get the critical value
and
and
and
and
Make L the subject in
Substitute for L in
Cross Multiply
Divide both sides by 1000
Take cube roots of both sides
Substitute 10 for W in
Recall that:
So, the dimensions are:
and
The surface area is:
Answer:
Skip this answer.
Just guess one of the answers.
Step-by-step explanation:
Answer:157 m
Step-by-step explanation:you need to multiply 3.14*25*2
The complete question is
<span>The volume of a sphere is 2,098 m3. What is the surface area of the sphere to the nearest tenth?
</span>
we know that
volume of a sphere=(4/3)*pi*r³
r=∛[3*Volume/(4*pi)]
volume-2098 m³
r=∛[3*2098/(4*pi)]-----> r=7.94 m
surface area of the sphere=4*pi*r²-----> 4*pi*7.94²----> 792.54 m²
surface area of the sphere=792.5 m²
the answer is
792.5 m²
Answer: 32° & 58°
<u>Step-by-step explanation:</u>
"Two angles are Complementary" means: x + y = 90
"Sum of the 1st angle plus twice the 2nd angle is 148" means: x + 2y = 148
Solve the system using any method <em>(I am using elimination)</em>
x + y = 90 → -1(x + y = 90) → -x - y = -90
x + 2y = 148 → 1(x + 2y = 148) →<u> x + 2y</u>= <u>148 </u>
y = 58
x + y = 90
x + 58 = 90
<u> -58 </u> <u>-58 </u>
x = 32