insert geometric means in each geometric sequence
1. 1,_____,36
2. 2,____,_____,16
3. -1,____, -9
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- Given Question :-
- A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 4 cm and the diameter of the base is 8 cm. Determine the volume of the toy. If a cube circumscribes the toy, then find the difference of the volumes of the cube and the toy. Also find the total surface area of the toy.
- \huge \mathbb \pink{ANSWER}ANSWER
- GIVEN :-
- A solid toy is in the form of a hemisphere surmounted by a right circular cone.
- The height of the cone is 4 cm.
- The diameter of the base is 8cm.
- TO FIND :-
- The volume of the toy.
- If a cube circumscribes the toy, then find the difference of the volumes of the cube and the toy.
- The total surface area of the toy.
- Formula Used :-
- \longmapsto \boxed{ \purple{ \bf \: Volume_{(cone)} = \dfrac{1}{3} \pi \: {r}^{2}h }}⟼
- Volume
- (cone)
- =
- 3
- 1
- πr
- 2
- h
- \longmapsto \boxed{ \purple{ \bf \:CSA_{(cone)} = \pi \: rl }}⟼
- CSA
- (cone)
- =πrl
- \longmapsto \boxed{ \purple{ \bf \: Volume_{(hemisphere)} = \dfrac{2}{3} \pi \: {r}^{3} }}⟼
- Volume
- (hemisphere)
- =
- 3
- 2
- πr
- 3
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