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  2. What is the surface area to volume ratio of a sphere? - Socratic

    socratic.org/questions/what-is-the-surface-area-to-volume-ratio-of-a-sphere

    Terms. Help. Surface area to volume ratio of a sphere equals to 3/r, where r is the sphere's radius. Surface area of a sphere with radius r equals to 4pir^2. The volume of this sphere is 4/3pir^3. Ratio of the surface area to volume, therefore, equals to (4pir^2)/ (4/3pir^3)=4 (3/4) (pi/pi) (r^2/r^3)=3/r.

  3. a) Show that the formula for the surface area of a sphere with...

    socratic.org/questions/58e321437c014904021733e9

    A = int dA An area element on a sphere has constant radius r, and two angles. One is longitude phi, which varies from 0 to 2pi. The other one is the angle with the vertical. To avoid counting twice, that angle only varies between 0 and pi. So the area element is dA = r d theta r sin theta d phi = r^2 sin theta d theta d phi Integrated over the whole sphere gives A = int_0^pi sin theta d theta ...

  4. How do you find the radius of a sphere when given the surface...

    socratic.org/questions/how-do-you-find-the-radius-of-a-sphere-when-given-the...

    Explanation: to get r, square root #r^2#. divide the surface area by 4pi and square root it. let r be the radius the surface area of a sphere is 4 x pi x r^2 thus, to find the radius, firstly, divide the surface area by 4 and pi, and you'll get r^2 to get r, square root r^2.

  5. The formula for the surface area of a sphere is - Socratic

    socratic.org/questions/the-formula-for-the-surface-area-of-a-sphere-is-sa-4pir...

    The surface area of Mercury is 19477"miles"^2 SA = 4 pi r^2 r = 1550 SA = 4 pi 1550^2 SA = 12.566 xx 1550^2 SA = 19477.88"mi"^2

  6. How do I find the volume of a sphere in terms of pi? - Socratic

    socratic.org/questions/how-do-i-find-the-volume-of-a-sphere-in-terms-of-pi

    The surface area of a sphere of radius #r# is #4 pi r^2#. Imagine dividing a sphere into a large number of slender pyramids with base at the surface and top at the centre of the sphere. The base of each pyramid will not be quite flat, but the more pyramids you divide the sphere into, the flatter the base of each will be.

  7. How do you find the surface area of the sphere in terms

    socratic.org/questions/how-do-you-find-the-surface-area-of-the-sphere-in-terms...

    With the formula we can calculate the Surface Area. S = 4πr2. We know the radius (r) to be 8f t. S = 4 × π× 82. S = 4 × π× 64. S = 256π. The surface area of the sphere is 256pi square feet. With the formula we can calculate the Surface Area. S=4pir^2 We know the radius (r) to be 8ft.

  8. Equation of a Sphere - Precalculus - Socratic

    socratic.org/precalculus/3-d-cartesian-coordinate-system/equation-of-a-sphere

    The surface area of a sphere of radius #r# is #4pi r^2# Imagine dissecting a sphere into a large number of slender pyramids, with apices at the centre and (slightly rounded) bases tesselating the surface. As you use more pyramids, the bases get flatter. The volume of each pyramid is #1/3 xx "base" xx "height"# So the total volume of all the ...

  9. What is the surface area of a sphere with a radius of 60 m ... -...

    socratic.org/questions/what-is-the-surface-area-of-a-sphere-with-a-radius-of-60-m

    SA = 14400π or SA = 45238.9342. The easiest way to remember these formulas is to do a cheat sheet. Sphere Calculator. Answer link. Surface Area formula is as follows: SA = 4\pir^2 Plugging in 60m for r, we get: SA = 4\pi * 602 SA = 4\pi * 3600 SA = 14400\pi or SA = 45238.9342 Sphere Calculator.

  10. What is the equation for the surface area of a sphere?

    socratic.org/questions/what-is-the-equation-for-the-surface-area-of-a-sphere

    Find the surface area. Answer: 38 million square kilometers The moon's surface area is about 14.6 million square miles (38 million square kilometers), which is less than the total surface area of the continent of Asia (17.2 million sq mi or 44.5 million sq km). The moon's mass is 7.35 x 1022 kg, about 1.2 percent of Earth's mass.

  11. How do you calculate surface area to volume ratio of a cube?

    socratic.org/questions/how-do-you-calculate-surface-area-to-volume-ratio-of-a-cube

    So the surface area to volume ratio is. The surface area to volume ratio is "1/3r":1, where r is the radius of the sphere. The formula for the volume of a sphere is V = 4/3πr^3, where r is the radius of the sphere. The formula for the area of a sphere is. A = 4πr^2 So the surface area to volume ratio is "SA"/"V" = ( (cancel (4π)r^2)/3 ...