Answer:
combined surface area = 511.82 cm²
combined volume = 851.97 cm³
Step-by-step explanation:
given, radius of small hemisphere = 4 cm
radius of large hemisphere = 7 cm
total surface area of hemisphere = 3πr²
TSA of large hemisphere = 3 × 3.14 × 7² = 461.58 cm²
Curved surface area of hemisphere = 2πr²
CSA of small hemisphere = 2 × 3.14 × 4² = 100.48 cm²
base area of small hemisphere = πr² = 3.14 × 4² = 50.24 cm²
surface area of the combined figure = TSA of large hemisphere +CSA of small hemisphere - base area of small hemisphere
combined surface area = 461.58 + 100.48 - 50.24 = 511.82 cm²
combined surface area = 511.82 cm²
volume of hemisphere = πr³
volume of small hemisphere = × 3.14 × 4³ = 133.97 cm³
volume of large hemisphere = × 3.14 × 7³ = 718 cm³
combined volume = volume of small hemisphere +volume of large hemisphere = 133.97 + 718 = 851.97 cm³
combined volume = 851.97 cm³
i hope that this will help u!!!
Author:
makaylazaaq
Rate an answer:
9Total surface area of the hemisphere = 3πr2 square units
Where π is a constant whose value is equal to approximately 3.14. "r" is the radius of the hemisphere.
The volume of a hemisphere is derived from Archimedes. Volume of hemisphere = (2/3)πr^3 cubic units.
GivenIt is given that a small hemisphere of radius 4 cm is mounted on a larger hemisphere of radius 7 cm with common base.
FindWe need to find the surface area and volume of the combined figure
SolutionLet us assume the radius of smaller hemisphere as r1 and the radius of larger hemisphere as r2
r1=4 cm and r2=7 cm
The surface area of combined figure is= Total surface area of smaller hemisphere+ Total surface area of larger hemisphere -area of base of smaller hemisphere
=3π r1^2 + 3π r2^2 - π r1^2
=3* 3.14* 4^2 + 3* 3.14* 7^2 - 3.14 * 4^2
=562.06 cm^2
The volume of the combined figure = (2/3) *π* r1^3 + (2/3) *π* r2^3
=((2/3) *3.14* 4^3 + (2/3) *3.14* 7^3
=851.9867 cm^3
Hene the surface area of combined figure is 562.06 cm^2 and the volume of the combined figure is 851.9867 cm^3
#SPJ2
Author:
keithmgwz
Rate an answer:
7