Find the surface area and volume of the solid. Complete parts (a) and (b). (a) Surface Area = ft? 22 ft | (Round to the nearest whole number.) 9 ft Volume = ft3 22 ft (Round to the nearest whole number.) ----
Find the surface area and volume of the solid. Complete parts (a) and (b). (a) Surface Area = ft? 22 ft | (Round to the nearest whole number.) 9 ft Volume = ft3 22 ft (Round to the nearest whole number.) ----
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Find the surface area and volume of the solid. Complete parts (a) and (b).
**(a) Surface Area = [ ] ft²**
*(Round to the nearest whole number.)*
**Volume = [ ] ft³**
*(Round to the nearest whole number.)*
---
### Diagram Explanation
The image features a cylindrical solid with labeled dimensions. The cylinder has a height of 22 feet and a radius of 9 feet. The diagram is depicted in a light blue shade, illustrating a three-dimensional cylinder with dashed lines indicating the circular cross-sections on either end.
To calculate the surface area and volume, use the formulas:
- Surface Area of a Cylinder: \( SA = 2\pi r(h + r) \)
- Volume of a Cylinder: \( V = \pi r^2h \)
Where \( r \) is the radius (9 ft) and \( h \) is the height (22 ft).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fddb6d050-560d-48f0-9a76-40cbd2b28dda%2Fe3a15f8d-0b11-4b53-9b5a-6a33ce72cfb6%2F65ht67o_processed.png&w=3840&q=75)
Transcribed Image Text:Find the surface area and volume of the solid. Complete parts (a) and (b).
**(a) Surface Area = [ ] ft²**
*(Round to the nearest whole number.)*
**Volume = [ ] ft³**
*(Round to the nearest whole number.)*
---
### Diagram Explanation
The image features a cylindrical solid with labeled dimensions. The cylinder has a height of 22 feet and a radius of 9 feet. The diagram is depicted in a light blue shade, illustrating a three-dimensional cylinder with dashed lines indicating the circular cross-sections on either end.
To calculate the surface area and volume, use the formulas:
- Surface Area of a Cylinder: \( SA = 2\pi r(h + r) \)
- Volume of a Cylinder: \( V = \pi r^2h \)
Where \( r \) is the radius (9 ft) and \( h \) is the height (22 ft).
![Here is a transcription and explanation suitable for an educational website:
---
**Surface Area Calculation**
**(b) Surface Area = [ ] m²**
*(Round to the nearest whole number.)*
### Diagram Explanation
The image features two geometric shapes that require surface area calculations.
1. **Cylinder**:
- The cylinder shown has a height of "9 ft".
- It can be inferred that the cylinder has a circular base, although the radius is not specified in the visible portion of this excerpt.
2. **Cone**:
- The cone has a height of "10 m" and a base diameter with a radius of "2 m".
- Its slant height is noted as "4 m", which is crucial for calculating the lateral surface area.
To compute the surface area, you should calculate both the areas of the base and the lateral surface areas for each shape and then sum them. Ensure all units are consistent and round the final result to the nearest whole number, as specified.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fddb6d050-560d-48f0-9a76-40cbd2b28dda%2Fe3a15f8d-0b11-4b53-9b5a-6a33ce72cfb6%2F2frosju_processed.png&w=3840&q=75)
Transcribed Image Text:Here is a transcription and explanation suitable for an educational website:
---
**Surface Area Calculation**
**(b) Surface Area = [ ] m²**
*(Round to the nearest whole number.)*
### Diagram Explanation
The image features two geometric shapes that require surface area calculations.
1. **Cylinder**:
- The cylinder shown has a height of "9 ft".
- It can be inferred that the cylinder has a circular base, although the radius is not specified in the visible portion of this excerpt.
2. **Cone**:
- The cone has a height of "10 m" and a base diameter with a radius of "2 m".
- Its slant height is noted as "4 m", which is crucial for calculating the lateral surface area.
To compute the surface area, you should calculate both the areas of the base and the lateral surface areas for each shape and then sum them. Ensure all units are consistent and round the final result to the nearest whole number, as specified.
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