In a frustum of a right circular cone, the radius of the lower base is 15ft, while the diameter of the upper base is 16ft. if the slant height of the frustum is 20ft, find the altitude, total surface area and the volume of the frustum.

Q: Given the lateral surface area of a right circular cylinder which is 54n cm² and its height is 9 cm,…

A: The lateral surface area is given as 54π cm2 and height h is given as 9 cm. The lateral surface area…

Q: Find the volume of a right circular cone that has a height of 7.5 m and a base with a radius of 14.7…

A: Volume of right circular cone is, V=π(r)2×h3where,r=radius and h=height Here, r=14.7 m h= 7.5 m

Q: Find the volume of a spherical cone whose base segment has an altitude of 6 cm and the radius of the…

A: Given.

Q: Find the volume of the rectangular pyramid given its length = 4 cm, width = 5 cm, and height of 8…

A: Given :rectangular pyramid given its length = 4 cmwidth = 5 cm, and height of 8 cm

Q: Find the volume of a right circular cone that has a height of 9.6 cm and a base with a radius of…

A:

Q: a sphere inscirbed in a right circular cone whose slant height has a length equal to the diameter of…

A:

Q: Find the volume of the rectangular pyramid given its length = 8 cm, width = 7 cm, and height of 6…

A: Volume

Q: The lengths of the legs of a right triangle are 4 cm and 6 cm. If the triangle is rotated about one…

A: *to find :  greatest volume of cone. *concept : for getting max volume we need to revolve triangle…

Q: Find the volume of a right circular cone that has a height of 7.6 in and a base with a radius of 4.4…

A: The objective of the question is to find the volume of a right circular cone.

Q: A regular decagonal prism has side length 8 m, apothem 12.31 m and height 9 m. Find the total…

A:

Q: Find the area of the largest isosceles trapezoid inscribed in a semicircle of radius 4 inches if its…

A: Area of trapezoid

Q: If a right circular cone has a circular base with a diameter of length 14 cm and a volume of 3927…

A:

Q: Find the radius of a sphere with volume 4.186 ft3.

A: Volume of the sphere  v=43πr3

Q: Find the volume of a right circular cone that has a height of 11.8 ft and a base with a radius of…

A: The volume of the right circular cone is given by V=13πr2h, where r is the radius of the base and h…

Q: A prism with height 2 m and a pyramid with height 5 m have congruenttriangular bases. Find the ratio…

A: Volume of Prism = area of base of prism × height   i.e. ,                     = A×2       (Let A…

Q: In a frustum of a cone of revolution the radius of the lower base is 11in., the radius of the upper…

A:

Q: A right cone has a base diameter of 8 in. and a volume of 259 cubic inches. Determine the slant…

A: Given the diameter and volume of a right cone. We need to find the slant height.

Q: Sketch a cone with radius 5 feet and height 8 feet, then find the volume. If needed, round to the…

A: sketching a cone with a radius and a height where a radius r = 5 feet and height h = 8 feet.

Q: For a right circular cone, the ratio of the slant height to the length of the radius is 5:3. If the…

A: Given that the ratio of slant height to the radius of right circular cone is 5:3 and the volume of…

Q: . What is the volume of the cone with radius 3 ft and height 5 ft? Express the answer in terms of r.…

A: volume of cone = πr2h/3 here we put value of r and h h =5 r =3 volume =π(3)2(5) volume = π45 volume…

Q: What is the total surface area including the base, of a 6-foot-high right circular cone with a 4…

A:

Q: Sketch a cone with radius 10 feet and height 9 feet, then find the volume. If needed, round to the…

A: Given, A cone with a radius of 10 feet and height 9 feet

Q: Find the volume of a right circular cone that has a height of 6.5 cm and a base with a radius of 8.5…

A: A right circular cone that has height of 6.5cm and a base radius of 8.5cm

Q: A cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. If ecach cubic foot can…

A: Given- A cylindrical stroage tank has a depth of 5 ft and radius m,easuring 2 ft. To find- The total…

Q: The base of a right prism is a rhombus one side of which is 10 cm, and the shorter diagonal is 12…

A: We will find the volume of the right angle prism in the following step.

Q: The exact volume of a right circular cone (not shown) is 32 in³. If the length of the base radius is…

A: V=13π r2hr is the radiush is the altitude

Q: The base edge of the right triangular prism is an equilateral triangle whose perimeter is 42cm. the…

A:

Q: The Great Pyramid of Egypt almost has a square base with length of side of about 230m. If the height…

A: Given that,  The Great Pyramid of Egypt has a square base with a length of side 230m and the height…

Q: The volume of a right circular cone is 36π. If its altitude is 2, find its radius?

A: From the given ques  the volume of the right circular cone (v) = 36π and the altiitude (h) = 2 R = ?…

Q: If the exact volume of a right circular cylinder is 200 cm³ and its altitude measures 8 cm, what is…

A: Volume of the right circular cylinder is πr2h, where r-radius and h-height

Q: The lateral edge of a square prism is 20cm long and it is inclined at an angle of 60 degrees with…

A:

Q: Find the volume of a right circular cone that has a height of 6 ft and a base with a radius of 9.7…

A: Here given the height h= 6 ft radius=9.7 ft the volume of the circular cone is

Q: A jacuzzi is in the shape of a right rectangular prism its length is 6 ft., its width is 8 ft., and…

A: Given : A jacuzzi is in the shape of a right rectangular prism, with dimensions: Length (L) = 6 ft.…

Q: Compute the surface area of the cone having a slant height of 5cm and a diameter of the base equal…

A:

Q: A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an…

A: Given : A snowcone with radius of 4 cm is sold in a cone shaped paper cup with a height of 12 cm…

Q: A sphere is cut by two parallel planes 3 cm apart, in such a way that the radius of the upper…

A: Given ,  A sphere is cut by two parallel planes 3 cm apart, in such a way that the radius of the…

Q: in a frustum of a right circular cone, the diameter of the lower base is 24 ft, while the diameter…

A: Radius of the upper and lower base of frustum is 242=12 ft and 142=7 ft respectively.

Q: A scoop used to measure powdered drink mix is in the shape of a cone with a radius of 5 cm.…

A:

Q: Determine the volume of a cylindrical wedge cut from a cylinder with a radius 4 m, if the cutting…

A: The base of cylinder is circular in shape, so the general equation of the base is, x2+y2=a2 where a…

Q: find the volume and the surface area of a square pyramid with a slant height of 5.22ft, hight of 5ft…

A: Given square pyramid with a slant height of 5.22ft, hight of 5ft and sides of 3ft

Q: What is the volume of a cone with a base whose radius is 7 feet and height is 5 feet?

A:

Q: The heigh of a sqare pyramid is 21 cm, the length of the sides of the square is 40 cm. What are the…

A:

Q: The base of a right prism is an equilateral triangle whose edges is 10cm each and it lateral edge is…

A:

Q: The exact volume of a right circular cone (not shown) is 32n in'. If the length of the base radius…

A: Given: volumev of right circular cone is 32π in3 We know that volumev of right circular cone is…

Q: The bases of a right prism is a hexagon with one of each side equal to 8 cm. The bases are 15 cm…

A:

Q: volume

A:

Q: A soup can in the shape of a right cylinder has a radius of 4.3 cm and a height of 11.6 cm. What is…

A:

Q: Suppose the area of the base of a pyramid is 112 ft2 and its lateral surface area is 198 ft2. What…

A: Given, Area of the base of the pyramid = 112 square feet Lateral surface area of the pyramid = 198…

Q: 9. If the exact volume of a right circular cylinder is 200T cm³ and its altitude measures 8 cm, what…

A:

Q: Calculate the total surface area of a right circular cone given the diameter of the base is 5 in.…

A: surface area formula = πrl slant height   l=h2+r2 l = 82+(2.5)2 l = 8.38 surface area =…