Find the radius of a sphere whose surface area is 154 cm square

Find the volume of a sphere whose surface area is 154 cm 2 . Solution: Since the Let the radius of the sphere be r. Surface area of the sphere = 4πr 2 3 Now, Surface area of the sphere = 4πr 2 = 154cm² r 2 = 154cm 2/ 4π r 2 = (154 cm 2) ÷ (4 × 22/7) r = √ 49/4cm² r = 7/2 cm Now, radius of the sphere = 7/2 cm Therefore, volume of the sphere = 4/3πr 3 = 4/3 × 22/7 × 7/2 cm × 7/2 cm × 7/2 cm = 539/3 cm 3 Therefore, volume of the sphere is 539/3 cm 3. ☛ Check: Video Solution: Find the volume of a sphere whose surface area is 154 cm². Summary: The volume of a sphere whose surface area is 154 cm² is equal to539/3 cm³. ☛ Related Questions: • • • •

Square Pyramid Shape h = height s = slant height a = side length e = lateral edge length r = a/2 V = volume S tot = total surface area S lat = lateral surface area S bot = bottom surface area Calculate more with Calculator Use Online calculator to calculate the surface area of geometric solids including a capsule, cone, frustum, cube, cylinder, hemisphere, pyramid, rectangular prism, sphere, spherical cap, and triangular prism Units: Note that units are shown for convenience but do not affect the calculations. The units are in place to give an indication of the order of the results such as ft, ft 2 or ft 3. For example, if you are starting with mm and you know r and h in mm, your calculations will result with V in mm 3 and S in mm 2. Below are the standard formulas for surface area. Surface Area Formulas: • Volume = πr 2((4/3)r + a) • Surface Area = 2 πr(2r + a) • Volume = (1/3) πr 2h • Lateral Surface Area = πrs = πr√(r 2 + h 2) • Base Surface Area = πr 2 • Total Surface Area = L + B = πrs + πr 2 = πr(s + r) = πr(r + √(r 2 + h 2)) • Volume = πr 2h • Top Surface Area = πr 2 • Bottom Surface Area = πr 2 • Total Surface Area = L + T + B = 2 πrh + 2( πr 2) = 2 πr(h+r) • Volume = (1/3) πh (r 1 2 + r 2 2 + (r 1 * r 2)) • Lateral Surface Area = π(r 1 + r 2)s = π(r 1 + r 2)√((r 1 - r 2) 2 + h 2) • Top Surface Area = πr 1 2 • Base Surface Area = πr 2 2 • Total Surface Area = π(r 1 2 + r 2 2 + (r 1 * r 2) * s) = π[ r 1 2 + r 2 2 + (r 1 * r 2) * √((r 1 - r 2) 2 + h 2) ] • Volume = a...

Sphere Shape r = radius V = volume A = surface area C = circumference π = pi = 3.1415926535898 √ = square root Calculator Use This online calculator will calculate the 3 unknown values of a sphere given any 1 known variable including radius r, surface area A, volume V and circumference C. It will also give the answers for volume, surface area and circumference in terms of PI π. A sphere is a set of points in three dimensional space that are located at an equal distance r (the radius) from a given point (the center point). Units: Note that units are shown for convenience but do not affect the calculations. The units are in place to give an indication of the order of the results such as ft, ft 2 or ft 3. For example, if you are starting with mm and you know r in mm, your calculations will result with A in mm 2, V in mm 3 and C in mm. Sphere Formulas in terms of radius r: • Volume of a sphere: • V = (4/3) πr 3 • Circumference of a sphere: • C = 2 πr • Surface area of a sphere: • A = 4 πr 2 \[ C \approx 1.77245\sqrt \] Sphere Calculations: Use the following additional formulas along with the formulas above. • Given the radius of a sphere calculate the volume, surface area and circumference Given r find V, A, C • use the formulas above • Given the volume of a sphere calculate the radius, surface area and circumference Given V find r, A, C • r = cube root(3V / 4 π) • Given the surface area of a sphere calculate the radius, volume and circumference Given A find r, V, C • r = √(A ...

Square Pyramid Shape h = height s = slant height a = side length e = lateral edge length r = a/2 V = volume S tot = total surface area S lat = lateral surface area S bot = bottom surface area Calculate more with Calculator Use Online calculator to calculate the surface area of geometric solids including a capsule, cone, frustum, cube, cylinder, hemisphere, pyramid, rectangular prism, sphere, spherical cap, and triangular prism Units: Note that units are shown for convenience but do not affect the calculations. The units are in place to give an indication of the order of the results such as ft, ft 2 or ft 3. For example, if you are starting with mm and you know r and h in mm, your calculations will result with V in mm 3 and S in mm 2. Below are the standard formulas for surface area. Surface Area Formulas: • Volume = πr 2((4/3)r + a) • Surface Area = 2 πr(2r + a) • Volume = (1/3) πr 2h • Lateral Surface Area = πrs = πr√(r 2 + h 2) • Base Surface Area = πr 2 • Total Surface Area = L + B = πrs + πr 2 = πr(s + r) = πr(r + √(r 2 + h 2)) • Volume = πr 2h • Top Surface Area = πr 2 • Bottom Surface Area = πr 2 • Total Surface Area = L + T + B = 2 πrh + 2( πr 2) = 2 πr(h+r) • Volume = (1/3) πh (r 1 2 + r 2 2 + (r 1 * r 2)) • Lateral Surface Area = π(r 1 + r 2)s = π(r 1 + r 2)√((r 1 - r 2) 2 + h 2) • Top Surface Area = πr 1 2 • Base Surface Area = πr 2 2 • Total Surface Area = π(r 1 2 + r 2 2 + (r 1 * r 2) * s) = π[ r 1 2 + r 2 2 + (r 1 * r 2) * √((r 1 - r 2) 2 + h 2) ] • Volume = a...

Find the volume of a sphere whose surface area is 154 cm 2 . Solution: Since the Let the radius of the sphere be r. Surface area of the sphere = 4πr 2 3 Now, Surface area of the sphere = 4πr 2 = 154cm² r 2 = 154cm 2/ 4π r 2 = (154 cm 2) ÷ (4 × 22/7) r = √ 49/4cm² r = 7/2 cm Now, radius of the sphere = 7/2 cm Therefore, volume of the sphere = 4/3πr 3 = 4/3 × 22/7 × 7/2 cm × 7/2 cm × 7/2 cm = 539/3 cm 3 Therefore, volume of the sphere is 539/3 cm 3. ☛ Check: Video Solution: Find the volume of a sphere whose surface area is 154 cm². Summary: The volume of a sphere whose surface area is 154 cm² is equal to539/3 cm³. ☛ Related Questions: • • • •

Sphere Shape r = radius V = volume A = surface area C = circumference π = pi = 3.1415926535898 √ = square root Calculator Use This online calculator will calculate the 3 unknown values of a sphere given any 1 known variable including radius r, surface area A, volume V and circumference C. It will also give the answers for volume, surface area and circumference in terms of PI π. A sphere is a set of points in three dimensional space that are located at an equal distance r (the radius) from a given point (the center point). Units: Note that units are shown for convenience but do not affect the calculations. The units are in place to give an indication of the order of the results such as ft, ft 2 or ft 3. For example, if you are starting with mm and you know r in mm, your calculations will result with A in mm 2, V in mm 3 and C in mm. Sphere Formulas in terms of radius r: • Volume of a sphere: • V = (4/3) πr 3 • Circumference of a sphere: • C = 2 πr • Surface area of a sphere: • A = 4 πr 2 \[ C \approx 1.77245\sqrt \] Sphere Calculations: Use the following additional formulas along with the formulas above. • Given the radius of a sphere calculate the volume, surface area and circumference Given r find V, A, C • use the formulas above • Given the volume of a sphere calculate the radius, surface area and circumference Given V find r, A, C • r = cube root(3V / 4 π) • Given the surface area of a sphere calculate the radius, volume and circumference Given A find r, V, C • r = √(A ...