(1) Calculate the volume and surface area of the following 3D shape: Right circular cone Right circular cylinder r = 30cm -h = 50cm r = 30cm 150cm ½ Sphere

Q: Find the volume of the cap of a sphere of radius r and height h for h < r.

A: The equation of the sphere with radius r is x2+y2+z2=r2. Determine z2 from the equation of sphere.…

Q: 11. Derive the formula for the total surface area of a right circular cone with radius r and…

A: To find the formula for the total surface area of a right circular cone with radius r and height h.

Q: The base of a solid is the circle x² + y² = 16. Find its volume if every section perpendicular to…

A: Given that base of a solid is in the form of a circle whose equation is given as x2+y2=16 Also,…

Q: What is the surface area of the cylinder? ¿Cuál es el área de la superficie del cilindro? 12 m 10 m…

A: We have to find surface area

Q: for

A:

Q: Calculate the surface area of the right prism. 3 cm 1 cm 2 cm a) 28 cm2 b) 6 cm2 c) 22 cm2 d) 36 cm2

A:

Q: Find the volume of the oblique rectangular prism below. Round your answer to the nearest tenth if…

A: Given: Oblique rectangular prismTo Find: Volume of the rectangular prism

Q: Find the volume of the solid of revolution that results when a right triangle with legs of lengths 5…

A:

Q: Find the volume of liquid needed to fill a sphere of radius R to height h = R %3D 3

A: To find → volume of liquid needed to fill a sphere of radiusR to height h=R3

Q: The volume of the sphere with the radius 5 is cubic units O 125 125 3 O 500 3 O 250 250 3 O 750 3

A: Volume of sphere

Q: A pentagonal pyramid has a base dimension of 3m and a height of 9m. determine: A. the slant height…

A:

Q: For the given section as shown, determine the surface area and the volume of the solif that will be…

A:

Q: ind the volume of the solid whose base is a circular disk of radius R, centered at the origin and…

A:

Q: What is the surface area of the composite solid? 4 m 4 m 8 m O 216 meters squared O 264 meters…

A: We have to find surface area of the composite solid.

Q: Given a right circular cone of radius 6 cm and height 10 cm, find the following: 1. Lateral area 2.…

A:

Q: A prismatoid has an upper base of 90cm^2 a lower base od 210cm^2 an altitude of 100cm, and a…

A: Given ,  A prismatoid has an upper base of 90 cm2 and lower base of 210 cm2 , altitude of 100 cm and…

Q: What is the surface area of the Right Cylinder below Diameter AB%3D37, and height BC=26.

A: We have to find the surface area of right cylinder

Q: If the shape below is rotated around the y-axis, what is the volume of the resulting shape? Round to…

A:

Q: Find the surface area of the rectangular prism (above) using its net (below). 4 2 3 units

A:

Q: 5. Find the surface area of the solid below. 4 ft B 6 ft

A:

Q: Find the volume of liquid needed to fill a sphere of radius R to height h (Figure 19). FIGURE 19…

A: Assume the horizontal distance between the surface of the sphere and the height h is x.

Q: Find the volume of a Cylinder where the radius = 6 and the height = 12 %3D %3D 396 O 264 4327 04…

A: We have to find volume

Q: The volume of a sphere is given by V =³, where V is th

A: Given that the volume of a sphere is given by V=45πr3, where V is the volume and r is the radius. If…

Q: Find the following for the right circular cylinder shown in the figure below. (a)the lateral…

A: Here  Height of cylinder,  h = 39.1 mm Radius, r = 8.22 mm

Q: Find the Volume, Lateral area, and Su 7= 3 m 3) V. LA = SA = %3D

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: If S represents the surface area of the spherical globe, find its diameter. O Vis 4x O VSA

A: We know that , formula of surface area of spherical globe is :  S = 4 π r2

Q: Find the volume of a cap of a sphere with radius r=65 and height h=47.

A: Given,           The volume of a cap of a sphere with radius r=65 and height h=47.We know that,…

Q: Find the volume of liquid needed to filla sphere of radius R to height . R

A:

Q: 15. Find the volume of the solid generated by revolving y-axis, the area enclosed

A:

Q: Find the volume of liquid needed to filla sphere of radius R to height R y V

A: Given that  Radius of sphere = R       and Find volume of liquid  at height at R/2.

Q: Find the surface area of the composite figure. 3 ст 3 ст 8 cm 8 ст 7 cm 7 cm 12 cm 10 cm SA = [ ? ]…

A: To find the surface area of the composite figure. From the figure, we can see that, brown colour…

Q: Determine the volume V generated by revolving the quarter-circular area about the z-axis through an…

A:

Q: 10) 11 LA = SA = %3D 3.

A: Given a right cylinder whose radius is 3 and height is 11

Q: 4. Find the surface area of this cone. 15 m 200m m² 320 m² 120m m? 184 m

A:

Q: 2. Which area calculation is not needed to find the surface area of the rectangular pyramid below? 5…

A: To find the area of base

Q: Find the surface area of the cylinder in terms of *. 9 cm 19 cm Not drawn to scale 2 O a 504 cm…

A:

Q: 8. Find the total surface area of a cylinder if the radius of the base is 3.5 cm and the height is 9…

A: Find the solution below

Q: C a b

A:

Q: 3. Calculate the surface area of the following composite shape. Show your work. 13 cm 2.8 cm 3.6 cm…

A:

Q: A prism with a hexagonal base whose sides measure 4 mm, apothem measures 2.83 mm, and height…

A:

Q: nd the radius of a sphere with volume z 113.04 in³.

A: Given that Volume of sphere = 113.04 in2

Q: 1. What is the volume of the cone with radius 7 yd and height 8 yd? Round to the nearest cubic yard.…

A:

Q: Find the volume of the area surrounded by spherical p= a and p = 2acoso

A:

Q: Breble Find the volume of the solid whose base is the region inside the unit circle x2 + y? = 1, and…

A: We need to find volume.

Q: Find the surface area of the rectangular prism (above) using its net (below). 3 4)

A: To find the Total surface area of the prism

Q: For a sphere whose radius has length 3 m, find the approximate a) surface area. b) volume.

A:

Q: A cone, with a hemisphere on top of it, is shown. Calculate a) the total surface area. 3.6 cm 8 cm…

A: To determine the total surface area and volume of the given solid.

Q: Find the volume of liquid needed to fill a sphere of radius R to height R y V = 씨5

A:

Q: For the given section as shown, determine the surface area and the volume of the solid that will be…

A:

Q: The solid shown consists of a right circular cylinder od diameter d and altitude of h, surmounted by…

A: The solid shown consists of a right circular cylinder od diameter d and altitude of h, surmounted by…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.